Groups with the Haagerup Property: Gromov’s a-T-menability

Pierre-Alain Cherix · Michael Cowling · Paul Jolissaint · Pierre Julg · Alain Valette

2012年12月 · Progress in Mathematics 第 197 本图书 · Birkhäuser

关于此电子书

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.