Boundary Amenability of Relatively Hyperbolic Groups
| dc.creator | Ozawa, Narutaka | |
| dc.date | 2005-01-31 | |
| dc.date | 2005-06-05 | |
| dc.date.accessioned | 2026-07-07T05:16:33Z | |
| dc.date.available | 2026-07-07T05:16:33Z | |
| dc.description | Let K be a fine hyperbolic graph and G be a group acting on K with finite quotient. We prove that G is exact provided that all vertex stabilizers are exact. In particular, a relatively hyperbolic group is exact if all its peripheral groups are exact. We prove this by showing that the group G acts amenably on a compact topological space. We include some applications to the theories of group von Neumann algebras and of measurable orbit equivalence relations. | |
| dc.description | 9 pages. Drastically changed | |
| dc.identifier | https://arxiv.org/abs/math/0501555 | |
| dc.identifier | http://arxiv.org/abs/math/0501555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74028 | |
| dc.subject | Group Theory | |
| dc.subject | Operator Algebras | |
| dc.subject | Primary 20F67; Secondary 46L10, 37A20 | |
| dc.title | Boundary Amenability of Relatively Hyperbolic Groups | |
| dc.type | text |