Low degree bounded cohomology and l^2-invariants for negatively curved groups
| dc.creator | Thom, Andreas | |
| dc.date | 2007-10-23 | |
| dc.date | 2008-10-13 | |
| dc.date.accessioned | 2026-07-07T10:08:56Z | |
| dc.date.available | 2026-07-07T10:08:56Z | |
| dc.description | We study the subgroup structure of discrete groups which share cohomological properties which resemble non-negative curvature. Examples include all Gromov hyperbolic groups. We provide strong restrictions on the possible s-normal subgroups of a Gromov hyperbolic group, or more generally a 'negatively curved' group. Another result says that the image of a group, which is boundedly generated by a finite set of amenable subgroups, in a Gromov hyperbolic group has to be virtually cyclic. Moreover, we show that any homomorphic image of an analogue of a higher rank lattices in a Gromov hyperbolic group must be finite. These results extend to a certain class of randomorphisms in the sense of Monod. We study the class of groups which admit proper quasi-1-cocycles and show that it is closed under l2-orbit equivalence. | |
| dc.description | 13 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0710.4207 | |
| dc.identifier | http://arxiv.org/abs/0710.4207 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171170 | |
| dc.subject | Group Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 22F10 (Primary); 28D15, 37A15, 37A20 (Secondary) | |
| dc.title | Low degree bounded cohomology and l^2-invariants for negatively curved groups | |
| dc.type | text |