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Item Details
Title: TOPOLOGICAL AND BIVARIANT K-THEORY
By: Joachim J. R. Cuntz, Ralf Meyer, Jonathan M. Rosenberg
Format: Paperback

List price: £26.99


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ISBN 10: 3764383984
ISBN 13: 9783764383985
Publisher: BIRKHAUSER VERLAG AG
Pub. date: 19 July, 2007
Edition: 2007 ed.
Series: Oberwolfach Seminars 36
Pages: 262
Description: 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.
Synopsis: 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.
Illustrations: XII, 262 p.
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Returnable
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