A propagation property of free entropy dimension
| dc.creator | Jung, Kenley | |
| dc.date | 2006-11-17 | |
| dc.date | 2006-11-29 | |
| dc.date.accessioned | 2026-07-07T07:33:04Z | |
| dc.date.available | 2026-07-07T07:33:04Z | |
| dc.description | Let M be a tracial von Neumann algebra and A be a weakly dense unital C*-subalgebra of M. We say that a set X is a W*-generating set for M if the von Neumann algebra generated by X is M and that X is a C*-generating set for A if the unital C*-algebra generated by X is A. For any finite W*-generating set X for M we show that $δ_0(X) \leq sup {δ_0(Y): Y is a finite C*-generating set for A}$ where $δ_0$ denotes the microstates free entropy dimension. It follows that if $sup {δ_0(Y): Y is a finite C*-generating set for C*_{red}(\mathbb F_2)} < \infty$, then the free group factors are all nonisomorphic. | |
| dc.description | 4 pages, minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0611536 | |
| dc.identifier | http://arxiv.org/abs/math/0611536 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119329 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L54; 52C17 | |
| dc.title | A propagation property of free entropy dimension | |
| dc.type | text |