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Topological and Bivariant K-Theory
     

Topological and Bivariant K-Theory

by Joachim Cuntz
 

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

Overview

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.

Product Details

ISBN-13:
9783764383985
Publisher:
Birkhauser Basel
Publication date:
09/03/2007
Series:
Oberwolfach Seminars Series , #36
Edition description:
2007
Pages:
262
Product dimensions:
6.60(w) x 9.40(h) x 0.80(d)

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