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商品詳細
Groups with the Haagerup Property : Gromov's a-T-menability. Softcover reprint of the original 1st ed. 2001.
・ISBN 978-3-0348-9486-9 paper
| 著者・編者 | Cherix, Pierre-Alain / Cowling, Michael / Jolissaint, Paul / Julg, Pierre / Valette, Alain, |
|---|---|
| シリーズ | Progress in Mathematics |
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2012 |
| ページ数 | 126 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-17066＞ |
解説
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.