IM PAN
INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES
BANACH CENTER
PUBLICATIONS
ISSN: 0137-6934(p) 1730-6299(e)
 

K-theory over C*-algebras
Alexandr S. Mishchenko1
Banach Center Publ. 76 (2007), 245-266

Abstract: 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.


MSC (2000): Primary 57Rxx, 55Rxx, 19Lxx; Secondary 19Kxx, 46L80, 46M20.
  1. Department of Mechanics and Mathematics
    Moscow State University
    119992 Moscow, Russia