K-theory over C*-algebras

• Autorzy: Alexandr S. Mishchenko
• Języki publikacji: EN

Abstrakty

EN

The contents of the article represents the minicourse which was delivered at the 7th conference "Geometry and Topology of Manifolds. The Mathematical Legacy of Charles Ehresmann", Będlewo (Poland), 8.05.2005 - 15.05.2005. The article includes the description of the so called Hirzebruch formula in different aspects which lead to a basic list of problems related to noncommutative geometry and topology. In conclusion, two new problems are presented: about almost flat bundles and about the Noether decomposition of the Fredholm operators which may not admit the adjoint operator.

Kategorie tematyczne

• 19Kxx: K -theory and operator algebras \SeeMainly{, and also }
• 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.)
• 57Rxx: Differential topology
• 55Rxx: Fiber spaces and bundles
• 19Lxx: Topological K -theory
• 46L80: K -theory and operator algebras (including cyclic theory)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 245-266

Daty

wydano

2007

Twórcy

autor

Alexandr S. Mishchenko

• Department of Mechanics and Mathematics, Moscow State University, 119992 Moscow, Russia

Identyfikatory

DOI

10.4064/bc76-0-13