Groups with the Haagerup Property
Gromov's a-T-menability
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Author
Contributions
- Jolissaint, Paul - Contributor
- Valette, Alain - Contributor
- Cowling, Michael - Contributor
- Julg, Pierre - Contributor
Publication
2001 - Birkhäuser Basel, Basel, Switzerland
Language
English
Word Count
31,500 words, Guess
Page Count
126 pages
Physical Format
[electronic resource] :
Identifiers
- Open LibraryOL27041947M
- ISBN-139783034882378
- ISBN-103034882378
- OCLC Control Number840290451
- OCLC Control Numbergroupswithhaager00cher
Classifications
- DDC512.2
- LCCQA174-183
Description
A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isometric action on some affine Hilbert space. As Gromov's pun is trying to indicate, this definition is designed as a strong negation to Kazhdan's property (T), characterized by the fact that every isometric action on some affine Hilbert space has a fixed point. The aim of this book is to cover, for the first time in book form, various aspects of the Haagerup property. New characterizations are brought in, using ergodic theory or operator algebras. Several new examples are given, and new approaches to previously known examples are proposed. Connected Lie groups with the Haagerup property are completely characterized.
Subjects
Series Statement
- Progress in Mathematics -- 197
Other Editions
- Groups with the Haagerup Property: Gromov's a-T-menability
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