$L^2$-Betti numbers and non-unitarizable groups without free subgroups
| dc.creator | Osin, D. | |
| dc.date | 2008-12-11 | |
| dc.date | 2009-02-15 | |
| dc.date.accessioned | 2026-07-07T12:41:09Z | |
| dc.date.available | 2026-07-07T12:41:09Z | |
| dc.description | We show that there exist non-unitarizable groups without non-abelian free subgroups. Both torsion and torsion free examples are constructed. As a by-product, we show that there exist finitely generated torsion groups with non-vanishing first $L^2$-Betti numbers. We also relate the well-known problem of whether every hyperbolic group is residually finite to an open question about approximation of $L^2$-Betti numbers. | |
| dc.identifier | https://arxiv.org/abs/0812.2093 | |
| dc.identifier | http://arxiv.org/abs/0812.2093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219672 | |
| dc.subject | Group Theory | |
| dc.title | $L^2$-Betti numbers and non-unitarizable groups without free subgroups | |
| dc.type | text |