There is no separable universal II_1-factor
| dc.creator | Ozawa, Narutaka | |
| dc.date | 2002-10-27 | |
| dc.date | 2002-11-02 | |
| dc.date.accessioned | 2026-07-07T04:52:23Z | |
| dc.date.available | 2026-07-07T04:52:23Z | |
| dc.description | Gromov constructed uncountably many pairwise non-isomorphic discrete groups with Kazhdan's property (T). We will show that no separable II_1-factor can contain all these groups in its unitary group. In particular, no separable II_1-factor can contain all separable II_1-factors in it. We also show that the full group C*-algebras of some of these groups fail the lifting property. | |
| dc.description | 4 pages. Largely revised to include an account for the construction of uncountably many simple T groups | |
| dc.identifier | https://arxiv.org/abs/math/0210411 | |
| dc.identifier | http://arxiv.org/abs/math/0210411 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65443 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L10; 20F65 | |
| dc.title | There is no separable universal II_1-factor | |
| dc.type | text |