Isometry groups of proper CAT(0)-spaces
| dc.creator | Hamenstaedt, Ursula | |
| dc.date | 2008-10-21 | |
| dc.date | 2009-02-10 | |
| dc.date.accessioned | 2026-07-07T12:39:12Z | |
| dc.date.available | 2026-07-07T12:39:12Z | |
| dc.description | Let G be a closed subgroup of the isometry group of a proper CAT(0)-space X. We show that if G is non-elementary and contains a rank-one element then its second bounded cohomology group with coefficients in the regular representation is non-trivial. As a consequence, up to passing to an open subgroup of finite index, either G is a compact extension of a totally disconnected group or G is a compact extension of a simple Lie group of rank one. | |
| dc.description | writing improved, some details added, 33 pages | |
| dc.identifier | https://arxiv.org/abs/0810.3755 | |
| dc.identifier | http://arxiv.org/abs/0810.3755 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219023 | |
| dc.subject | Group Theory | |
| dc.subject | Metric Geometry | |
| dc.subject | 20F67,20J06 | |
| dc.title | Isometry groups of proper CAT(0)-spaces | |
| dc.type | text |