A Unique Decomposition Result for HT Factors with Torsion Free Core
| dc.creator | Popa, Sorin | |
| dc.date | 2004-01-14 | |
| dc.date | 2004-03-21 | |
| dc.date.accessioned | 2026-07-07T05:04:31Z | |
| dc.date.available | 2026-07-07T05:04:31Z | |
| dc.description | We prove that II$_1$ factors $M$ have a unique (up to unitary conjugacy) cross-product type decomposition around ``core subfactors'' $N \subset M$ satisfying the property HT and a certain ``torsion freeness'' condition. In particular, this shows that isomorphism of factors of the form $L_α(\Bbb Z^2) \rtimes Γ$, for torsion free, non-amenable subgroups $Γ\subset SL(2, \Bbb Z)$ and $α= e^{2πi t}$, $t \not\in \Bbb Q$, implies isomorphism of the corresponding groups $Γ$. | |
| dc.description | 8 pages; minor corrections 02/17/04, 03/17/04 | |
| dc.identifier | https://arxiv.org/abs/math/0401138 | |
| dc.identifier | http://arxiv.org/abs/math/0401138 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69834 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10, 46L35, 46L40 | |
| dc.title | A Unique Decomposition Result for HT Factors with Torsion Free Core | |
| dc.type | text |