Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - CRM Barcelona)
1 edition
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Word Count
32,750 words, Guess
Page Count
131 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9089844M
- ISBN-139783764304089
- ISBN-103764304081
- OCLC Control Number52587593
- OCLC Control Numberpropergroupactio00misl
and 3 more
- Library of Congress Control Number2003057879
- LibraryThing8792515
- Goodreads2575709
Classifications
- LCCQA612.33 .M57 2003
Description
This book contains 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.
First Sentence
The Baum-Connes Conjecture predicts that the K-theory of the reduced C*-algebra C(G) of a group G can be computed as the KG-homology of the so-called universal space for proper G-actions, EG.
Subjects
Other Editions
- Proper Group Actions and the Baum-Connes Conjecture (Advanced Courses in Mathematics - CRM Barcelona)
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