Algebraic Geometry and Topological Strings Seminar  RSS

Sessions

12/10/2005, 17:00 — 18:00 — Amphitheatre Pa2, Mathematics Building
Radu Popescu, Centro de Análise Matemática, Geometria e Sistemas Dinâmicos

Twisted K-theory, C*-algebras and groupoids.

We take a look at the nontorsion case, which correspond to infinite dimensional projective bundles. We cast this in the realm of C*-algebras and groupoids, using Morita equivalences and Brauer groups, with reference to the general analysis of the interplay between groupoids and algebras as a central theme of the noncommutative geometry.
  1. M. Atiyah, G. Segal, Twisted K-theory, math.KT/0407054.
  2. A. Connes, Noncommutative Geometry, Academic Press, 1994.
  3. P. Donavan and M. Karoubi, Graded Brauer groups and K-theory with local coefficients, Publ. Math IHES 38 (1970) 5-25.
  4. N.P. Landsman, Mathematical topics between classical and quantum mechanics. Springer Monographs in Mathematics. Springer-Verlag, New York, 1998
  5. J. Rosenberg, Continuous-trace algebras from the bundle theoretic point of view. J. Austral. Math. Soc. Ser. A 47 (1989), no. 3, 368-381.
  6. I. Raeburn, D.P. Williams, Morita equivalence and continuous-trace C*-algebras, Mathematical Surveys and Monographs, 60. American Mathematical Society, Providence, RI, 1998. xiv+327 pp.
  7. A. Kumjian, P. S. Muhly, J. N. Renault, D. P. Williams, The Brauer Group of a Locally Compact Groupoid, funct-an/9706004.

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