| HAL: hal-00473061, version 1 |
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| Proper actions of wreath products and generalizations |
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| Yves Stalder 1Yves de Cornulier 2 |
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| (2009-05) |
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| We study stability properties of the Haagerup property and of coarse embeddability in a Hilbert space, under certain semidirect products. In particular, we prove that they are stable under taking standard wreath products. Our construction also allows for a characterization of subsets with relative Property T in a standard wreath product. |
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| 1: | Laboratoire de Mathématiques |
| CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II | |
| 2: | Institut de Recherche Mathématique de Rennes (IRMAR) |
| CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne | |
| 3: | Institut de Mathématiques (UnINE) |
| Université Neuchatel | |
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| Subject | : | Mathematics/Group Theory |
| hal-00473061, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00473061 | |
| oai:hal.archives-ouvertes.fr:hal-00473061 | |
| From: Yves Stalder | |
| Submitted on: Wednesday, 14 April 2010 10:52:38 | |
| Updated on: Monday, 8 November 2010 15:27:53 | |