Infinite multiplicity of abelian subalgebras in free group subfactors

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dc.creatorStefan, Marius
dc.date2004-02-07
dc.date.accessioned2026-07-07T05:05:13Z
dc.date.available2026-07-07T05:05:13Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0402107
dc.identifierhttp://arxiv.org/abs/math/0402107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70086
dc.subjectOperator Algebras
dc.subject46Lxx (Primary) 47Lxx (Secondary)
dc.titleInfinite multiplicity of abelian subalgebras in free group subfactors
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