Infinite multiplicity of abelian subalgebras in free group subfactors

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We obtain an estimate of Voiculescu's (modified) free entropy dimension for generators of a ${II}_1$-factor $\mc{M}$ with a subfactor $\mc{N}$ containing an abelian subalgebra $\mc{A}$ 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.

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Operator Algebras, 46Lxx (Primary) 47Lxx (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70086

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402107
 http://arxiv.org/abs/math/0402107

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arXiv