Oberwolfach Seminars

Cuntz, Joachim; Rosenberg, Jonathan M.

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.

Details

Published by: Birkhäuser

Publication Date: 2007-07-19

Format: Paperback

ISBN-13: 9783764383985

DOI: 10.1007/978-3-7643-8399-2

Dimensions: 242cm x170cm

Pages: 262