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.