Curriculum vitae van Nicolaas Pieter Landsman 11-09-1963 03-06-1981 01-09-1981 01-04-1983 14-02-1984 25-06-1985 21-06-1989 29-11-1997 30-09-1999 22-02-2001

geboren te Nijmegen diploma Gymnasium, St. Ignatius College, Amsterdam aanvang studie natuurkunde met wiskunde en sterrenkunde (UvA) 1e plaats (gedeeld) Nederlands jeugdkampioenschap schaken kandidaatsexamen cum laude doctoraalexamen (oude stijl) theoretische fysica cum laude promotie in theoretische hoge-energie fysica (UvA) cum laude getrouwd met Imke Kross geboorte Julius Landsman geboorte Felix Landsman Academische loopbaan

01-08-1985–30-09-1989 01-10-1989–30-09-1991 01-10-1991–30-06-1997 01-10-1993–30-09-1994 01-07-1997–30-06-2000 01-07-2000– 30-06-2001 01-07-2001–

Wetenschappelijk Assistent, Inst. v. Theoretische Fysica, UvA Research Assistant, DAMTP, University of Cambridge Advanced Research Fellow, DAMTP, University of Cambridge, m.u.v. Forschungsstipendiat, II. Institut f. Theoretische Physik, Univ. Hamburg UD in tijd. dienst, Korteweg-de Vries Instituut v. Wiskunde, UvA UHD in vaste dienst, ibid. Hoogleraar mathematische fysica, ibid. Stipendia

SERC Advanced Research Fellowship, 1991-1997 Forschungsstipendium, Alexander von Humboldt Stiftung, 1993-1994 KNAW Fellowship, 1997-2002 FOM Dakpan, 2002-2004 NWO Pionier, 2002-2007 2e geldstroom projecten (NWO) 01-08-1998–31-07-2002 01-10-2000–30-09-2002 01-07-2001–30-06-2003 01-08-2002–30-07-2005 01-09-2002–31-08-2007

Quantized gauge theories and non-commutative geometry 1 oio: H. Posthuma Spin-statistics connection and Unruh effect in quantum field theory 1 postdoc: B. Kuckert Braided categories, operator algebras, and quantum groupoids 1 postdoc: M. M¨ uger (met I. Moerdijk) Quantization and E-theory 1 oio: R.Bos Quantization, noncommutative geometry, and symmetry 2 oio’s: P. Hochs, N. Kowalzig, 4 postdocs: M. M¨ uger, C. Carvalho, 2 vacatures. Onderwijs-organisatie

First Dutch Spring School on Mathematical Physics, Nijmegen, 8–12-3-1999 (met R. Dijkgraaf) Coordinator Masteropleiding mathematische fysica UvA, 2002Coordinator MRI Masterclass on Noncommutative Geometry, 2003-04 (met I. Moerdijk). Seminarium-organisatie Mathematical Structures in Field Theory, 1997-1999 (met P. Bongaarts en H. Pijls) Algemeen Wiskundig Colloquium UvA, 1998-1999 (met A. Doelman en T. Koornwinder) Seminar on Groupoids, 1999-2000 (met I. Moerdijk)

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Seminar on Geometry and Quantization, 2000-2001 (met R. Dijkgraaf, E. Looijenga, en I. Moerdijk) Seminar on Tensor Categories in Mathematical Physics, 2001-02 (met I.Moerdijk en M. M¨ uger) Seminar on noncommutative geometry, 2002-03 (met E. Opdam). PIONIER group seminar on quantization, noncommutative geometry, and symmetry, 2003-04. Conferentie-organisatie First Workshop on Thermal Field Theories and their Applications, Cleveland, 3–5-10-1988, co-editor van de Proceedings Physica A 158, 1989 (met K. Kowalski en Ch.G. van Weert) Workshop on Quantization, Operator Algebras, and Knots, Enschede, 8–10-10-1998 (met G. Helminck, T. Koornwinder, en J. v.d. Leur) Quantization of Singular Symplectic Quotients, Oberwolfach, 2–7-08-1999 (met M. Bordemann, M. Pflaum, en M. Schlichenmaier) MSRI Workshop on Quantization and Noncommutative Geometry, Berkeley, 23–27-04-2001 (met A. Connes, J. Cuntz, N. Higson, G.G. Kasparov, H. Moscovici, M. Rieffel, G. Skandalis, A. Weinstein, M. Wodzicki, en S. Woronowicz) Quantization of Poisson spaces with Singularities, Oberwolfach, 19–25-01-2003 (met J. Huebschmann, M. Pflaum, en M. Schlichenmaier) Workshop on Noncommutative Geometry, 21–23-05-2003 (met E. Opdam). Bestuur Bestuurslid Vereniging van Akademie-Onderzoekers, 1998-2002 Projectleider MF-A-c FOM/GBE Samenwerkingsverband Mathematische Fysica, 1998Projectleider Quantization and Operator Algebras, KdV Inst., UvA, 1998Lid Commissie FOM/GBE Samenwerkingsverband Mathematische Fysica, 1998Lid aio-sollicitatiecommissie KdV Inst., 1999Lid facultaire bibliotheekcommissie UvA en de facto vakreferent wiskunde, 2000Lid universitaire bibliotheekcommissie UvA, 2001Lid DB FOM/GBE Samenwerkingsverband Mathematische Fysica, 2000Promovendi Urs A. Wiedemann, Constraints and Symmetry Breaking in Quantum Field Theory, Cambridge, 1994 Mark A. Robson, The Geometric Quantization of Constrained Systems, Cambridge, 1995 Ken K. Wren, Constrained Quantization of Yang-Mills Theory via Rieffel Induction, Cambridge, 1998 Hessel B. Posthuma, Quantization of Hamiltonian loop group actions, Amsterdam, 2003 Rogier Bos, in voorbereiding, 2006 Peter Hochs, in voorbereiding, 2007 Niels Kowalzig, in voorbereiding, 2007 Afstudeerders Edwin L.M. Koopman, Dimensional Reduction at High Temperature, Amsterdam, 1989 Joris Portegies Zwart, BRST Reduction and Quantization of Constrained Hamiltonian Systems, Amsterdam, 1998 Erik van Erp, The Atiyah-Singer Index Theorem, K-theory, and Quantization, Amsterdam, 2000 2

Rachel Brouwer, Morita Equivalence and Bicategories for Rings and von Neumann Algebras, Amsterdam, 2001 Fonger Ypma, Quasicrystals and K-theory, Amsterdam, in voorbereiding Recente colleges UvA C ∗ -algebras and quantum-mechanica, 40 uur, 4e jaars, 1997-98 Symplectische meetkunde, 20 uur, 4e jaars, 1997-98 (met R. Dijkgraaf) Abstracte harmonische analyse, 20 uur, 3e jaars, 1998-99 en 2000-2001 Von Neumann algebras en knopentheorie, 40 uur, 4e jaars, 1998-99 Minicursus financi¨ele wiskunde, 6 uur, aio’s, 1998-99 (met R. de Vilder) Categorie¨en en algebraische quantumveldentheorie, 40 uur, 4e jaars, 1999-2000 K-theory, KK-theory, and E-theory, 8 uur, postgraduate, 2001 (KUN) Operator algebras and noncommutative geometry, 40 uur, 4e jaars, 2001-02 Mathematical quantum field theory, 40 uur, 4e jaars, 2002-03 C ∗ -algebras and K-theory, 48 uur, 4e jaars, 2003-04. Conferentievoordrachten op uitnodiging 1. CAP-NSERC Summer Institue in Theoretical Physics, Edmonton, 1987 2. Workshop on Thermal Field Theories and their Applications, Cleveland, 1988 3. Workshop on Finite Temperature Field Theory, Nice, 1990 4. Quark Matter ’90, Menton, 1990 5. 10th International Congress on Mathematical Physics, Leipzig, 1991 6. Journ´ees Relativistes, Amsterdam, 1992 7. XXI Conf. on Differential Geometry Methods in Theoretical Physics, Tianjin, 1992 8. Workshop on Decoherence and the Physics of Information, Aspen, 1992 9. Symposium on Mathematical Physics, Twente, 1993 10. Deutsche Physikalische Gesellschaft, Hamburg, 1993 11. Int. Conf. on Mathematical Physics, Paris, 1994 12. Conf. on New Problems in the General Theory of Fields and Particles, Paris, 1994 13. C ∗ -algebras, Blaubeuern, 1994 14. XIVth Workshop on Geometric Methods in Physics, Bialowieza, 1995 15. Symposium on Algebraic and Constructive Quantum Field Theory, G¨ottingen, 1995 16. Annual Gadget Meeting on Differential Geometry, Han-sur-Lesse, 1995 17. Mini-Conference on Quantum Theory, London, 1996 18. XXI Int. Colloquium on Group Theoretical Methods in Physics, Goslar, 1996 19. Quantum Structures ’96, Berlin, 1996 20. Quantenfeldtheorie und Wellenfronten, Oberwolfach, 1997 3

21. Workshop on Canonical and Quantum Gravity, Warszaw, 1997 22. International Conference on Mathematical Physics, Brisbane, 1997 23. Workshop on Local Quantum Physics, Vienna, 1997 24. Workshop on Non-Commutative Geometry and Fundamental Interactions II, Vietri, 1998 25. International Seminar on Current Topics in Mathematical Cosmology, Potsdam, 1998 26. XVII’th Workshop on Geometric Methods in Physics, Bialowieza, 1998 27. Third Workshop on the Foundations and Constructive Aspects of Quantum Field Theory, Potsdam, 1998 28. Samenwerkingsverband Mathematische Fysica, Amersfoort, 1998 29. AMS Summer Research Conference on Groupoids in Physics, Geometry, and Analysis, Boulder, 1999 30. Quantum Theory and Symmetries, Goslar, 1999 31. XVIIIth Workshop on Geometric Methods in Physics, Bialowieza, 1999 32. Gauge Theories and Noncommutative Geometry, Leiden, 1999 33. Noncommutative Geometry, Oberwolfach, 2000 34. Mathematical Physics in Mathematics and in Physics: Quantum and Operator Algebraic Aspects, Siena, 2000 35. Workshop on Quantization, Warwick, 2000 36. Noncommutative Spaces and Gauge Theory, Berlin, 2001 37. Quantization and Noncommutative Geometry, MSRI, Berkeley, 2001 38. 4th Operator Algebras International Conference: Operator Algebras and Mathematical Physics, Constanta, Romania, 2001 39. LMS Workshop on New Homological and Categorical Methods in Mathematical Physics, Manchester, 2001 40. Mini-Workshop on the Quantization of Poisson spaces with singularities, Oberwolfach, 2003 41. Nederlands Mathematisch Congres, Nijmegen, 2003. 42. Welle trifft Teilchen, Villigst, 2003. Voordrachten academisch jaar 2002–2003 1. 13 August, Villigst, Heisenberg und die Atombombe 2. 11 July, Aachen, Quantum mechanics and representation theory: the new synthesis 3. 11 June, Amsterdam (CWI), Kansen en valkuilen bij de popularisering van de wiskunde 4. 23 May, Amsterdam, Functoriality of quantization, KK-theory, and the Guillemin-Sternberg conjecture 5. 21 May, Amsterdam, Wiskunde en de Verlichting: Descartes - Spinoza - Newton

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6. 9 May, Amsterdam, De wiskunde achter de kwantumtheorie: Van atoomspectra tot niet-commutatieve meetkunde 7. 1 May, Nijmegen, Quantum mechanics and representation theory: the new synthesis 8. April 11, Amsterdam, The general Baum-Connes conjecture 9. 4 April, Utrecht, The royal path to quantization 10. 11 March, Delft, De wiskunde achter de quantumtheorie: Van atoomspectra tot niet-commutatieve meetkunde 11. 5 March, Amsterdam, First editions of books by Newton, Huygens en Descartes held by the University Library 12. 5 March, Amsterdam, Uit het raam staren (gesprek met Gerardjan Rijnders) 13. 13 February, Utrecht, Quantization as a functor 14. 31 January, Amsterdam, Isaac Newton: de eerste moderne wiskundige 15. 23 January, Oberwolfach, Quantization as a functor 16. 15 January, Hamburg, Quantization as a functor 17. 6 December, Amsterdam, KK-theory 18. 13 November, Amsterdam, Isaac Newton: de eerste mathematisch fysicus 19. 1 November, Amsterdam, Connes’s proof of the Atiyah-Singer index theorem II 20. 18 October, Amsterdam, Connes’s proof of the Atiyah-Singer index theorem I 21. 20 September, Amsterdam, The Atiyah-Singer index theorem 22. 6 September, Amsterdam, Overview: from Atiyah-Singer to V. Lafforgue Affiliaties Lid van de American Mathematical Society, de International Association for Mathematical Physics, en het Wiskundig Genootschap. Erelid van de British Society for the Philosophy of Science.

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Publicaties van N.P. Landsman (1 Augustus, 2003) Boeken N.P. Landsman, Mathematical Topics Between Classical and Quantum Mechanics, 548p., Springer Mathematical Monographs, Springer, New York, 1998 N.P. Landsman, M. Pflaum, en M. Schlichenmaier (eds.), Deformation Quantization of Singular Symplectic Quotients, 337p., Progress in Mathematics, Birkh¨ auser, 2001. N.P. Landsman, Requiem voor Newton, Contact, Amsterdam, 2004.

Refereed artikelen 1. Consistent real-time propagators for any spin, mass, temperature and density, Physics Letters B172, 46–48 (1986). 2. Real- and imaginary-time field theory at finite temperature and density (met Ch.G. van Weert), Physics Reports 145, 141–249 (1987). 3. Hilbert space and propagator in thermal field theory, Physical Review Letters 60, 1909–1912 (1988). 4. Universal quantum field theory, Proceedings of the CAP-NSERC Summer Institute in Theoretical Physics, eds. F.C.Khanna and H. Umezawa (World Scientific, Singapore), 204–226 (1988). 5. Non-shell unstable particles in thermal field theory, Annals of Physics (N.Y.) 186, 141–205 (1988). 6. How dissipation solves the infrared problem in thermal QCD, Physica A158, 200–224 (1989). 7. Limitations to dimensional reduction at high temperature, Nuclear Physics B322, 498–530 (1989). 8. Large-mass and high-temperature behaviour in perturbative quantum field theory, Communications in Mathematical Physics 125, 643–660 (1989). 9. Dimensional reduction at high temperature revisited (met E.L.M. Koopman), Physics Letters B223, 421–424 (1989). 10. A gauge-independent coupling constant in thermal QCD, Physics Letters B232, 240–246 (1989). 11. C ∗ -algebraic quantization and the origin of topological quantum effects, Letters in Mathematical Physics 20, 11–18 (1990). 12. Quantization and superselection sectors I. Transformation group C ∗ -algebras, Reviews in Mathematical Physics 2, 45–72 (1990). 13. Quantization and superselection sectors II. Dirac Monopole and Aharonov-Bohm effect, Reviews in Mathematical Physics 2, 73–104 (1990). 14. The inherent non-perturbativeness of thermal field theories (and a possible perturbativization), Nuclear Physics A525 Proceedings Supplement, Quark Matter ’90, 397c–400c (1991). 15. Algebraic theory of superselection sectors and the measurement problem in quantum mechanics, International Journal of Modern Physics A6, 5349–5372 (1991). 16. The geometry of inequivalent quantizations (met N. Linden), Nuclear Physics B365, 121–160 (1991).

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17. Superselection rules from Dirac and BRST quantization of constrained systems (met N. Linden), Nuclear Physics B371, 415–433 (1992). 18. Induced representations, gauge fields, and quantization on homogeneous spaces, Reviews in Mathematical Physics 4, 503–528 (1992). 19. Deformations of algebras of observables and the classical limit of quantum mechanics, Reviews in Mathematical Physics 5, 775–806 (1993). 20. Quantization and classicization: from Jordan-Lie algebras of observables to gauge fields, Classical and Quantum Gravity, 10, S101–S108 (1993). 21. Quantization on Riemannian spaces from groupoid C ∗ -algebras, International Journal of Modern Physics Proc. Suppl. 3A, 347–350 (1993). 22. Strict deformation quantization of a particle in external gravitational and Yang-Mills fields, Journal of Geometry and Physics 12, 93–132 (1993). 23. Classical and quantum representation theory, Proc. Sem. Mathematical Structures in Field Theory 1989-1990, eds. E. A. de Kerf and H.G.J. Pijls, CWI-syllabus 39, Amsterdam, 135–163 (1996), arXiv:hep-th/9411172. 24. Inaccuracy and spontaneous symmetry breaking in quantum measurements (met T. Breuer en A. Amann), Journal of Mathematical Physics 34, 5441–5450 (1993). 25. Disjoint final states in quantum measurements (met T. Breuer en A. Amann), Proc. Symp. Foundations of Modern Physics 1993, eds. P. Busch, P. Lahti, and P. Mittelstaedt (World Scientific, Singapore), 118–126 (1993). 26. Rieffel induction as generalized quantum Marsden-Weinstein reduction, Journal of Geometry and Physics 15, 285–319 (1995), Err. 17 (1995) 298, arXiv:hep-th/9305088. 27. Observation and superselection in quantum mechanics, Studies in History and Philosophy of Modern Physics 26 (1995) 45–73, arXiv:hep-th/9411173. 28. Massless particles, electromagnetism, and Rieffel induction (met U.A. Wiedemann), Reviews in Mathematical Physics 7, 923–958 (1995), arXiv:hep-th/9411174. 29. The Stueckelberg-Kibble model as an example of quantized symplectic reduction (met U.A. Wiedemann), Journal of Mathematical Physics 37 (1996) 2731–2747, arXiv:hep-th/9508134. 30. Local Quantum Physics, Studies in History and Philosophy of Modern Physics 27 (1996) 511– 525. 31. Classical behaviour in quantum mechanics: a transition probability approach, International Journal of Modern Physics B10 (1996) 1545–1554, arXiv:quant-ph/9511001. 32. Against the Wheeler-DeWitt equation, Classical and Quantum Gravity 12 (1995) L119–L123, arXiv:gr-qc/9510033. 33. The quantization of constrained systems: from symplectic reduction to Rieffel induction, Quantization, Coherent States and Poisson Structures. Proc. XIV’th Workshop on Geometric Methods in Physics, Bialowie˙za, 1995, eds. A. Strasburger et al. (Polish Scientific Publishers, Warsaw), 73–89 (1998), arXiv:dg-ga/9601009. 34. Poisson spaces with a transition probability, Reviews in Mathematical Physics 9 (1997) 29–57, arXiv:quant-ph/9603005. 7

35. Simple new axioms for quantum mechanics, International Journal of Theoretical Physics 37 (1998) 343–348, arXiv:quant-ph/9604008. 36. Classical reduction and quantum induction in constrained systems, Physical Applications and Mathematical Aspects of Geometry, Groups, and Algebras, Proc. XXI Int. Colloquium on Group Theoretical Methods in Physics, Goslar 1996, Vol. 1, eds. H.-D. Doebner, W. Scherer, and P. Nattermann (World Scientific, Singapore), 368–372 (1997). 37. Constrained quantization and θ-angles (met K.K. Wren), Nuclear Physics B502 [PM] (1997) 537–560, arXiv:hep-th/9706178. 38. Quantum Mechanics on Phase Space, Studies in History and Philosophy of Modern Physics 30 (1999) 287–305. 39. Constrained quantization in algebraic field theory, Meeting with the Platypus. Proc. XIIth Int. Congress of Mathematical Physics, Brisbane 1997, eds. A.J. Bracken et al. (International Press, Boston), pp. 191–196 (1999), arXiv:math-ph/9807029. 40. Representations of the infinite unitary group from constrained quantization, Journal of Nonlinear Mathematical Physics 6 (1999) 161–180. 41. Lie groupoid C ∗ -algebras and Weyl quantization, Communications in Mathematical Physics 206 (1999) 367–381, arXiv:math-ph/9903039. 42. Strict quantization of coadjoint orbits, Journal of Mathematical Physics 39 (1998) 6372–6383, arXiv:math-ph/9807027. 43. Twisted Lie group C ∗ -algebras as strict quantizations, Letters in Mathematical Physics 46 (1998), 181–188, arXiv:math-ph/9807028. 44. Quantization of singular systems and incomplete motions, Current Topics in Mathematical Cosmology, eds. M. Rainer and H.-J. Schmidt (World Scientific, Singapore), 256–263 (1998), arXiv:gr-qc/9807069. 45. Hall’s coherent states, the Cameron-Martin theorem, and the quantization of Yang-Mills theory on a circle (met K.K. Wren), Coherent States, Quantization and Gravity, eds. M. Schlichenmaier et al. (WUW, Warszaw, 2001), 23–36, arXiv:math-ph/9812012. 46. Comment on “What is a gauge transformation in quantum mechanics?”, Physical Review Letters 83 (1999) 1070. 47. Compact quantum groupoids, Quantum Theory and Symmetries, (Goslar 1999), eds. H.-D. Doebner et al., 421–431 (World Scientific, 2000), arXiv:math-ph/9912006. 48. Quantization of Poisson algebras associated to Lie algebroids (met B. Ramazan), Proceedings of the Conference on Groupoids in Physics, Analysis and Geometry (Boulder 1999), eds. A. Ramsay and J. Renault, Contemporary Mathematics 282, 159–192 (AMS, Providence, 2001), arXiv:math-ph/0001005. 49. Quantized reduction as a tensor product, Quantization of Singular Symplectic Quotients, eds. N.P. Landsman, M. Pflaum, M. Schlichenmaier, 137–180 (Birkh¨ auser, Basel, 2001), arXiv:math-ph/0008004. 50. Bicategories of operator algebras and Poisson manifolds, Mathematical Physics in Mathematics and Physics: Quantum and Operator Algebraic Aspects, ed. R. Longo, Fields Institute Communications, (2001), 271–286, arXiv:math-ph/0008003. 51. The Muhly-Renault-Williams theorem for Lie groupoids and its classical counterpart, Letters in Mathematical Physics 54 (2001) 43–59, arXiv:math-ph/0008005. 8

52. Operator algebras and Poisson manifolds associated to groupoids, Communications in Mathematical Physics 222 (2001) 97–117, arXiv:math-ph/0008036. 53. Getting even with Heisenberg, Studies in History and Philosophy of Modern Physics 33 (2002) 297–325. 54. Quantization as a functor, Quantization, Poisson Brackets, and Beyond, ed. T. Voronov, Contemporary Mathematics 315, 9–24 (AMS, Providence, 2002). arXiv:math-ph/0107023. 55. Quantization and the tangent groupoid, Operator Algebras and Mathematical Physics, Conference Proceedings, Constanta (Romania), July 2-7, 2001, ISBN 973-85432-2-3, eds. J.-M. Combes, J. Cuntz, G.A. Elliott, G. Nenciu, H. Siedentop, S. Stratila (Theta Foundation, 2003), arXiv:math-ph/0208004. 56. Deformation quantization and the Baum–Connes conjecture, Communications in Mathematical Physics, 237 (2003), 87–103, arXiv:math-ph/0210015. 57. Functorial quantization and the Guillemin–Sternberg conjecture, to appear in in S.T Ali et al. (eds.), Proc. XXth Workshop on Geometric Methods in Physics, Bialowie˙za, 2002, arXiv:math-ph/0307059. 58. Quantum mechanics and representation theory: the new synthesis, 2003.

Populair 1. De erfenis van Dirac en Von Neumann, Nederlands Tijdschrift voor Natuurkunde 64 (1998), 151–153. 2. Heisenberg en de Duitse atoombom, Nederlands Tijdschrift voor Natuurkunde 67 (2001), 178– 181. 3. ‘Wiskunde wordt het enige criterium’ (interview), Nederlands Tijdschrift voor Natuurkunde 67 (2001), 276–278. 4. Hoe geef ik een wiskundige voordracht, Nieuw Archief voor Wiskunde 5/2 (2001), 351–355. 5. Wiskunde aan de grenzen van de natuurkunde (oratie), Nieuw Archief voor Wiskunde 5/3 (2002), 24–32. 6. Wie was Thomas Young? Nederlands Tijdschrift voor Natuurkunde 69 (2003), 40–44. 7. De dramatiek van de natuurkunde: Toneelstukken van Frayn en Rijnders onder de loep, Kunst en Wetenschap 12 (2) (2003), 5–8. 8. Briljante gifmenger: een portret van Isaac Newton, Academische Boekengids 39 (juni 2003), 13–14.

Boekbesprekingen 1. John von Neumann by N. Macrea en John von Neumann and Norbert Wiener by S. Heims, STROOM 41, (1994) 19–21. 2. QED and the Men Who Made it by S.S. Schweber, Nederlands Tijdschrift voor Natuurkunde 61/10, 184 (1995); extended version in STROOM 45, 8–11 (1995), 46, 14–17 (1995). 3. Operator Algebras and Applications (Proceedings Pythagorio 1996), ed. A. Katavolos, Mededelingen van het Wiskundig Genootschap.

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4. An introduction to noncommutative spaces and their geometries by G. Landi, Mededelingen van het Wiskundig Genootschap 17, 514–515 (1999). 5. Quantum Field Theory for Mathematicians by R. Ticciati, Nieuw Archief voor Wiskunde 5/2 (2001), 179. Analytic K-homology by N. Higson and J. Roe, Nieuw Archief voor Wiskunde 5/2 (2001), 372. 6. Stochastic Processes and Operator Calculus on Quantum Groups by U. Franz and R. Schott, Nieuw Archief voor Wiskunde, to appear 7. State Spaces of Operator Algebras by E. Alfsen and F. Shultz, Nieuw Archief voor Wiskunde, to appear 8. Classification of nuclear C ∗ -algebras. Entropy in operator algebras by M. Rørdam and E. Størmer, Nieuw Archief voor Wiskunde, to appear

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