Rigidity results for wreath product II$_1$ factors
| dc.creator | Ioana, Adrian | |
| dc.date | 2006-06-22 | |
| dc.date.accessioned | 2026-07-07T07:17:36Z | |
| dc.date.available | 2026-07-07T07:17:36Z | |
| dc.description | We consider II$_1$ factors of the form $M=\bar{\bigotimes}_{G}N\rtimes G$, where either i) $N$ is a non-hyperfinite II$_1$ factor and $G$ is an ICC amenable group or ii) $N$ is a weakly rigid II$_1$ factor and $G$ is ICC group and where $G$ acts on $\bar{\bigotimes}_{G}N$ by Bernoulli shifts. We prove that isomorphism of two such factors implies cocycle conjugacy of the corresponding Bernoulli shift actions. In particular, the groups acting are isomorphic. As a consequence, we can distinguish between certain classes of group von Neumann algebras associated to wreath product groups. | |
| dc.identifier | https://arxiv.org/abs/math/0606574 | |
| dc.identifier | http://arxiv.org/abs/math/0606574 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/113995 | |
| dc.subject | Operator Algebras | |
| dc.subject | Group Theory | |
| dc.title | Rigidity results for wreath product II$_1$ factors | |
| dc.type | text |