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Item Details
Title: PROPER GROUP ACTIONS AND THE BAUM-CONNES CONJECTURE
By: Guido Mislin, Alain Valette
Format: Paperback

List price: £29.99


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ISBN 10: 3764304081
ISBN 13: 9783764304089
Publisher: BIRKHAUSER VERLAG AG
Pub. date: 23 July, 2003
Series: Advanced Courses in Mathematics - CRM Barcelona
Pages: 144
Description: The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. This book includes introduction to the techniques used to prove the Baum-Connes conjecture.
Synopsis: A concise introduction to the techniques used to prove the Baum-Connes conjecture. The Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a group can be computed as the equivariant K-homology of the classifying space for proper actions. The approach is expository, but it contains proofs of many basic results on topological K-homology and the K-theory of C^*-algebras. It features a detailed introduction to Bredon homology for infinite groups, with applications to K-homology. It also contains a detailed discussion of naturality questions concerning the assembly map, a topic not well documented in the literature. The book is aimed at advanced graduate students and researchers in the area, leading to current research problems.
Illustrations: 2 black & white illustrations, biography
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Returnable
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