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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-13,
author = {Alexandr S. Mishchenko},
title = {K-theory over C*-algebras},
journal = {Banach Center Publications},
volume = {75},
year = {2007},
pages = {245-266},
zbl = {1140.46030},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-13}
}
Alexandr S. Mishchenko. K-theory over C*-algebras. Banach Center Publications, Tome 75 (2007) pp. 245-266. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc76-0-13/