Skip to main content
SpringerLink
Log in
Birkhäuser
Book cover

Groups with the Haagerup Property

Gromov’s a-T-menability

  • Book
  • © 2001

Overview

Authors:
  1. Pierre-Alain Cherix

    1. Section de Mathématiques, Université de Genève, Genéva, Switzerland

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Michael Cowling

    1. School of Mathematics and Statistics The Red Centre, University of New South Wales, Sydney, Australia

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Paul Jolissaint

    1. Institut de Mathématiques, Université de Neuchâtel, Neuchâtel, Switzerland

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Pierre Julg

    1. Bâtiment de Mathématiques, MAPMO, Université d'Orléans, Orléans cedex 2, France

    View author publications

    You can also search for this author in PubMed   Google Scholar

  5. Alain Valette

    1. Inst. Mathematiques, Université de Neuchatel - Unimail Mathematics, Neuchatel, Switzerland

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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)

Buy print copy

Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Keywords

  • YellowSale2006
  • geometry
  • group theory
  • harmonic analysis
  • mathematics

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.

---

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

  • Section de Mathématiques, Université de Genève, Genéva, Switzerland

    Pierre-Alain Cherix

  • School of Mathematics and Statistics The Red Centre, University of New South Wales, Sydney, Australia

    Michael Cowling

  • Institut de Mathématiques, Université de Neuchâtel, Neuchâtel, Switzerland

    Paul Jolissaint

  • Bâtiment de Mathématiques, MAPMO, Université d'Orléans, Orléans cedex 2, France

    Pierre Julg

  • 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

Publish with us

Policies and ethics

Back to top

Search

Navigation