• Anglický jazyk

Proper Group Actions and the Baum-Connes Conjecture

Autor: Alain Valette

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... Viac o knihe

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O knihe

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.

  • Vydavateľstvo: Birkhäuser Basel
  • Rok vydania: 2003
  • Formát: Paperback
  • Rozmer: 244 x 170 mm
  • Jazyk: Anglický jazyk
  • ISBN: 9783764304089

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