Proper Group Actions and the Baum-Connes Conjecture

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Beschreibung

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.

Inhalt
Equivariant K-Homology of the Classifying Space for Proper Actions.- On the BaumConnes Assembly Map for Discrete Groups.

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Produktinformationen

Titel
Proper Group Actions and the Baum-Connes Conjecture
Autor
EAN
9783764304089
ISBN
3764304081
Format
Kartonierter Einband
Anzahl Seiten
144
Gewicht
262g
Größe
H244mm x B170mm x T8mm
Jahr
2003
Untertitel
Englisch
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