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Table of contents (7 chapters)
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Groups with the Haagerup Property
Book Subtitle: Gromov’s a-T-menability
Authors: Pierre-Alain Cherix, Paul Jolissaint, Alain Valette, Michael Cowling, Pierre Julg
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-8237-8
Publisher: Birkhäuser Basel
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2001
Softcover ISBN: 978-3-0348-9486-9Published: 01 November 2012
eBook ISBN: 978-3-0348-8237-8Published: 06 December 2012
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: VII, 126
Topics: Group Theory and Generalizations, Topological Groups, Lie Groups