Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - Crm Barcelona) - Couverture souple

Mislin, Guido

 
9783764304089: Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - Crm Barcelona)

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.

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Autres éditions populaires du même titre

9780817604080: Proper Group Actions and the Baum-Connes Conjecture

Edition présentée

ISBN 10 :  0817604081 ISBN 13 :  9780817604080
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