Marc Rieffel

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Marc Aristide Rieffel (born December 22, 1937 in New York City ) is an American mathematician who deals with operator algebras , non-commutative harmonic analysis and quantum geometries (including non-commutative geometry in the sense of Alain Connes ). He is a professor at the University of California, Berkeley .

Marc Rieffel, Oberwolfach 2011

Rieffel studied at Harvard University with a bachelor's degree in 1959 and received his doctorate in 1963 under Richard Kadison at Columbia University ( A characterization of commutative group algebras and measure algebras ). He was then a lecturer at Berkeley University from 1963, becoming an assistant professor, an associate professor in 1968 and a professor in 1973.

In the 1970s he developed the theory of the Morita equivalence of C * algebras and introduced strong deformation quantization.

He is a fellow of the American Mathematical Society .

Jonathan Rosenberg is one of his PhD students .

Fonts

  • 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, Volume 51, 1990, pp. 411-423
  • Quantization and C * algebras , Contemporary Mathematics, Volume 167, 1994, pp. 67-97
  • Non-commutative tori - a case study of non-commutative differentiable manifolds , Contemporary Mathematics, Volume 105, 1990, pp. 191-211
  • with Alain Connes Yang-Mills for non-commutative 2-tori , Contemporary Mathematics, Volume 62, 1987, pp. 237-266
  • Editor with Lewis Coburn Perspectives on quantization (Proceedings of the 1996 AMS-IMS-SIAM Joint Summer Research Conference, July 7-11, 1996, Mt. Holyoke College), American Mathematical Society 1998
  • Morita equivalence for C * -algebras and W * -algebras , J. Pure Appl. Algebra 5: 51-96 (1974)
  • Induced representations of C * algebras , Bull. Amer. Math. Soc. 78 (1972), 606-609 and Advances in Mathematics, Volume 13, 1974, pp. 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, pp. 43-82
  • with Albert S. Schwarz Morita equivalence of multidimensional noncommutative tori , Internat. J. Math., Vol. 10, 1999, pp. 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, Volume 449, 2008, pp. 399-415
  • Integrable and proper actions on C * -algebras, and square-integrable representations of groups , Expositiones Mathematicae, Volume 22, 2004, pp. 1-53, Arxiv
  • Compact quantum metric spaces , in Operator algebras, quantization, and noncommutative geometry , Contemporary Mathematics, Volume 365, 2004, pp. 315-330, Arxiv

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ↑ Rieffel at nLab
personal data
SURNAME Rieffel, Marc
ALTERNATIVE NAMES Rieffel, Marc Aristide (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH December 22, 1937
PLACE OF BIRTH New York City