Groups with the Haagerup Property : Gromovs A-T-Menability

English

Series: Progress in Mathematics Ser.

ISBN: 3764365986

EAN: 9783764365981

Category: Mathematics / Group Theory

Publisher: Birkhauser Boston

Release Date: 09/30/2001

Synopsis: 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 Gromovs pun is trying to indicate, this definition is designed as a strong negation to Kazhdans 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.

Excerpt: Unknown Property Excerpt

Groups with the Haagerup Property : Gromovs A-T-Menability

Illustrated: No

Format: Hardcover

Weight: 13.4 oz

Pages: vii, 126