Groups with the Haagerup Property
Author | : Pierre-Alain Cherix |
Publisher | : Birkhäuser |
Total Pages | : 130 |
Release | : 2012-12-06 |
ISBN-10 | : 9783034882378 |
ISBN-13 | : 3034882378 |
Rating | : 4/5 (378 Downloads) |
Download or read book Groups with the Haagerup Property written by Pierre-Alain Cherix and published by Birkhäuser. This book was released on 2012-12-06 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. This book is to covers various aspects of the Haagerup property. It gives several new examples.