Proper Group Actions and the Baum-Connes Conjecture

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  • Proper Group Actions and the Baum-Connes Conjecture Book Detail

  • Author : Guido Mislin
  • Release Date : 2012-12-06
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 138
  • ISBN 13 : 3034880898
  • File Size : 90,90 MB

Proper Group Actions and the Baum-Connes Conjecture by Guido Mislin PDF Summary

Book Description: 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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Introduction to the Baum-Connes Conjecture

Introduction to the Baum-Connes Conjecture

File Size : 96,96 MB
Total View : 7618 Views
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The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme. It can be viewed as a conjectural generalisation of the Atiyah-Singer index

Introduction to the Baum-Connes Conjecture

Introduction to the Baum-Connes Conjecture

File Size : 31,31 MB
Total View : 6797 Views
DOWNLOAD

The Baum-Connes conjecture is part of A. Connes' non-commutative geometry programme. It can be viewed as a conjectural generalisation of the Atiyah-Singer index