Coarse embeddings into a Hilbert space, Haagerup Property and Poincare inequalities
| dc.creator | Tessera, Romain | |
| dc.date | 2008-02-19 | |
| dc.date | 2008-03-11 | |
| dc.date.accessioned | 2026-07-07T09:25:46Z | |
| dc.date.available | 2026-07-07T09:25:46Z | |
| dc.description | We prove that a metric space does not coarsely embed into a Hilbert space if and only if it satisfies a sequence of Poincaré inequalities, which can be formulated in terms of (generalized) expanders. We also give quantitative statements, relative to the compression. In the equivariant context, our result says that a group does not have the Haagerup property if and only if it has relative property T with respect to a family of probabilities whose supports go to infinity. We give versions of this result both in terms of unitary representations, and in terms of affine isometric actions on Hilbert spaces. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0802.2541 | |
| dc.identifier | http://arxiv.org/abs/0802.2541 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156519 | |
| dc.subject | Geometric Topology | |
| dc.subject | 51F99; 43A85. | |
| dc.title | Coarse embeddings into a Hilbert space, Haagerup Property and Poincare inequalities | |
| dc.type | text |