Alain Connes; Sergio Doplicher; Joachim Cuntz; Roberto Longo; Erik G. Guentner; Nigel Higson; Jerome Kaminker; J Roberts Springer-Verlag Berlin and Heidelberg GmbH & Co. KG (2003) Saatavuus: Tilaustuote Pehmeäkantinen kirja
Birkhauser Verlag AG Sivumäärä: 262 sivua Asu: Pehmeäkantinen kirja Painos: 2007 Julkaisuvuosi: 2007, 19.07.2007 (lisätietoa) Kieli: Englanti
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.