Authors:
- 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
- New approaches to previously known examples are proposed
- Includes supplementary material: sn.pub/extras
Part of the book series: Modern Birkhäuser Classics (MBC)
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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.
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The book is extremely interesting, stimulating and well written (...) and it is strongly recommended to graduate students and researchers in the fields of geometry, group theory, harmonic analysis, ergodic theory and operator algebras.
The first chapter, by Valette, is a stimulating introduction to the whole book.
(Mathematical Reviews)
This book constitutes a collective volume due to five authors, featuring important breakthroughs in an intensively studied subject.
(Zentralblatt MATH)
Authors and Affiliations
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Section de Mathématiques, Université de Genève, Genéva, Switzerland
Pierre-Alain Cherix
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School of Mathematics and Statistics The Red Centre, University of New South Wales, Sydney, Australia
Michael Cowling
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Institut de Mathématiques, Université de Neuchâtel, Neuchâtel, Switzerland
Paul Jolissaint
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Bâtiment de Mathématiques, MAPMO, Université d'Orléans, Orléans cedex 2, France
Pierre Julg
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Inst. Mathematiques, Université de Neuchatel - Unimail Mathematics, Neuchatel, Switzerland
Alain Valette
Bibliographic Information
Book Title: Groups with the Haagerup Property
Book Subtitle: Gromov’s a-T-menability
Authors: Pierre-Alain Cherix, Michael Cowling, Paul Jolissaint, Pierre Julg, Alain Valette
Series Title: Modern Birkhäuser Classics
Publisher: Birkhäuser Basel
Copyright Information: Springer Basel 2001
Softcover ISBN: 978-3-0348-0905-4Published: 10 March 2015
eBook ISBN: 978-3-0348-0906-1Due: 14 March 2015
Series ISSN: 2197-1803
Series E-ISSN: 2197-1811
Edition Number: 1
Number of Pages: VII, 126
Number of Illustrations: 3 b/w illustrations