Infinite multiplicity of abelian subalgebras in free group subfactors
Operator Algebras
2007-05-23 v1
Abstract
We obtain an estimate of Voiculescu's (modified) free entropy dimension for generators of a -factor with a subfactor containing an abelian subalgebra of finite multiplicity. It implies in particular that the interpolated free group subfactors of finite Jones index do not have abelian subalgebras of finite multiplicity or Cartan subalgebras.
Keywords
Cite
@article{arxiv.math/0402107,
title = {Infinite multiplicity of abelian subalgebras in free group subfactors},
author = {Marius Stefan},
journal= {arXiv preprint arXiv:math/0402107},
year = {2007}
}