Singly Generated II_1 Factors
| dc.creator | Shen, Junhao | |
| dc.date | 2005-11-13 | |
| dc.date | 2005-12-13 | |
| dc.date.accessioned | 2026-07-07T06:51:12Z | |
| dc.date.available | 2026-07-07T06:51:12Z | |
| dc.description | In the paper, we study the generator problem of II$_1$ factors. By defining a new concept related to the number of generators of a von Neumann algebra, we are able to show that a large class of II$_1$ factors are singly generated, i.e., generated by two self-adjoint elements. In particular, this shows that most of II$_1$ factors, whose free entropy dimensions are less than or equal to one, are singly generated. | |
| dc.identifier | https://arxiv.org/abs/math/0511327 | |
| dc.identifier | http://arxiv.org/abs/math/0511327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/104905 | |
| dc.subject | Operator Algebras | |
| dc.title | Singly Generated II_1 Factors | |
| dc.type | text |