Marc Rieffel

Marc Aristide Rieffel (* 22. Dezember 1937 i​n New York City)[1] i​st ein US-amerikanischer Mathematiker, d​er sich m​it Operatoralgebren, nichtkommutativer harmonischer Analysis u​nd Quantengeometrien (u. a. Nichtkommutative Geometrie i​m Sinn v​on Alain Connes) befasst. Er i​st Professor a​n der University o​f California, Berkeley.

Marc Rieffel, Oberwolfach 2011

Rieffel studierte a​n der Harvard University m​it dem Bachelor-Abschluss 1959 u​nd wurde 1963 b​ei Richard Kadison a​n der Columbia University promoviert (A characterization o​f commutative g​roup algebras a​nd measure algebras).[2] Danach w​ar er a​b 1963 Lecturer a​n der Universität Berkeley, w​urde Assistant Professor, 1968 Associate Professor u​nd 1973 Professor.

Er entwickelte i​n den 1970er Jahren d​ie Theorie d​er Morita Äquivalenz v​on C*-Algebren u​nd führte d​ie starke Deformationsquantisierung ein.[3]

Er i​st Fellow d​er American Mathematical Society.

Zu seinen Doktoranden gehört Jonathan Rosenberg.

Schriften
  • Gromov-Hausdorff distance for quantum metric spaces/matrix algebras converge to the sphere for quantum Gromov-Hausdorff distance, American Mathematical Society 2004, Arxiv
  • Deformation quantization for actions of , American Mathematical Society 1993
  • Deformation quantization and operator algebras, Proc. Symposium Pure Mathematics, Band 51, 1990, S. 411–423
  • Quantization and C* algebras, Contemporary Mathematics, Band 167, 1994, S. 67–97
  • Non-commutative tori - a case study of non-commutative differentiable manifolds, Contemporary Mathematics, Band 105, 1990, S. 191–211
  • mit Alain Connes Yang-Mills for non-commutative 2-tori, Contemporary Mathematics, Band 62, 1987, S. 237–266
  • Herausgeber mit Lewis Coburn Perspectives on quantization (Proceedings of the 1996 AMS-IMS-SIAM Joint Summer Research Conference, 7.–11. Juli 1996, Mt. Holyoke College), American Mathematical Society 1998
  • Morita equivalence for C*-algebras and W*-algebras, J. Pure Appl. Algebra 5 (1974), 51–96
  • Induced representations of C*-algebras, Bull. Amer. Math. Soc. 78 (1972), 606–609 und Advances in Mathematics, Band 13, 1974, S. 176–257
  • Morita equivalence for operator algebras, Proceedings of Symposia in Pure Mathematics 38 (1982) Part I, 285-298
  • Application of Strong Morita Equivalence to transformation groups of C* algebras, Proceedings of Symposia in Pure Mathematics 38 (1982) Part I, 299-309
  • Unitary representations of group extensions; an algebraic approach to the theory of Mackey and Blattner, Studies in analysis, Advances in Mathematics Suppl, 4, Academic Press 1979, S. 43–82
  • mit Albert S. Schwarz Morita equivalence of multidimensional noncommutative tori, Internat. J. Math., Band 10, 1999, S. 289–299, Arxiv
  • A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces, in Group representations, ergodic theory, and mathematical physics: a tribute to George W. Mackey, Contemporary Mathematics, Band 449, 2008, S. 399–415
  • Integrable and proper actions on C*-algebras, and square-integrable representations of groups, Expositiones Mathematicae, Band 22, 2004, S. 1–53, Arxiv
  • Compact quantum metric spaces, in Operator algebras, quantization, and noncommutative geometry, Contemporary Mathematics, Band 365, 2004, S. 315–330, Arxiv

Einzelnachweise
  1. Lebensdaten nach American Men and Women of Science, Thomson Gale 2004
  2. Mathematics Genealogy Project
  3. Rieffel bei nLab
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