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- W1654890256 abstract "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 $mc{P}=mc{P}_1veemc{P}_2subsetmc{N}$ where $mc{P}_1=mc{R}_1'capmc{P}$, $mc{P}_2=mc{R}_2'capmc{P}$ are diffuse, $mc{R}_1,mc{R}_2subsetmc{P}$ are mutually commuting hyperfinite subfactors, and an abelian subalgebra $mc{A}subsetmc{N}$ such that the correspondence $_mc{P}L^2(mc{N},tau)_mc{A}$ is $mc{M}$-weakly contained in a subcorrespondence $_mc{P}H_mc{A}$ of $_mc{P}L^2(mc{M},tau)_mc{A}$, 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." @default.
- W1654890256 created "2016-06-24" @default.
- W1654890256 creator A5020019447 @default.
- W1654890256 date "2004-02-07" @default.
- W1654890256 modified "2023-09-27" @default.
- W1654890256 title "An estimate of free entropy and applications" @default.
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