An estimate of free entropy and applications
| dc.creator | Stefan, Marius | |
| dc.date | 2004-02-07 | |
| dc.date.accessioned | 2026-07-07T05:05:13Z | |
| dc.date.available | 2026-07-07T05:05:13Z | |
| dc.description | We obtain an estimate of free entropy of generators in a type ${II}_1$-factor $\mc{M}$ which has a subfactor $\mc{N}$ of finite index with a subalgebra $\mc{P}=\mc{P}_1\vee\mc{P}_2\subset\mc{N}$ where $\mc{P}_1=\mc{R}_1'\cap\mc{P}$, $\mc{P}_2=\mc{R}_2'\cap\mc{P}$ are diffuse, $\mc{R}_1,\mc{R}_2\subset\mc{P}$ are mutually commuting hyperfinite subfactors, and an abelian subalgebra $\mc{A}\subset\mc{N}$ such that the correspondence $_\mc{P}L^2(\mc{N},τ)_\mc{A}$ is $\mc{M}$-weakly contained in a subcorrespondence $_\mc{P}H_\mc{A}$ of $_\mc{P}L^2(\mc{M},τ)_\mc{A}$, generated by $v$ vectors. The (modified) free entropy dimension of any generating set of $\mc{M}$ is $\leq 2r+2v+4$, where $r$ is the integer part of the index. As a consequence, the interpolated free group subfactors of finite index do not have regular non-prime subfactors or regular diffuse hyperfinite subalgebras. | |
| dc.identifier | https://arxiv.org/abs/math/0402109 | |
| dc.identifier | http://arxiv.org/abs/math/0402109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70088 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46Lxx (Primary) 47Lxx (Secondary) | |
| dc.title | An estimate of free entropy and applications | |
| dc.type | text |