Groups with the Haagerup Property: Gromov’s a-T-menability
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2001
|
| Series: | Progress in Mathematics
197 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (VII, 126 p) |
| ISBN: | 9783034882378 9783034894869 |
| DOI: | 10.1007/978-3-0348-8237-8 |
Staff View
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| isbn | 9783034882378 9783034894869 |
| language | English |
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| spelling | Cherix, Pierre-Alain Verfasser aut Groups with the Haagerup Property Gromov’s a-T-menability by Pierre-Alain Cherix, Paul Jolissaint, Alain Valette, Michael Cowling, Pierre Julg Basel Birkhäuser Basel 2001 1 Online-Ressource (VII, 126 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 197 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 Mathematics Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik Gruppentheorie (DE-588)4072157-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Gruppentheorie (DE-588)4072157-7 s 2\p DE-604 Jolissaint, Paul Sonstige oth Valette, Alain Sonstige oth Cowling, Michael Sonstige oth Julg, Pierre Sonstige oth https://doi.org/10.1007/978-3-0348-8237-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cherix, Pierre-Alain Groups with the Haagerup Property Gromov’s a-T-menability Mathematics Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4143413-4 |
| title | Groups with the Haagerup Property Gromov’s a-T-menability |
| title_auth | Groups with the Haagerup Property Gromov’s a-T-menability |
| title_exact_search | Groups with the Haagerup Property Gromov’s a-T-menability |
| title_full | Groups with the Haagerup Property Gromov’s a-T-menability by Pierre-Alain Cherix, Paul Jolissaint, Alain Valette, Michael Cowling, Pierre Julg |
| title_fullStr | Groups with the Haagerup Property Gromov’s a-T-menability by Pierre-Alain Cherix, Paul Jolissaint, Alain Valette, Michael Cowling, Pierre Julg |
| title_full_unstemmed | Groups with the Haagerup Property Gromov’s a-T-menability by Pierre-Alain Cherix, Paul Jolissaint, Alain Valette, Michael Cowling, Pierre Julg |
| title_short | Groups with the Haagerup Property |
| title_sort | groups with the haagerup property gromov s a t menability |
| title_sub | Gromov’s a-T-menability |
| topic | Mathematics Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Mathematics Group theory Topological Groups Group Theory and Generalizations Topological Groups, Lie Groups Mathematik Gruppentheorie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-0348-8237-8 |
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