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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.