Infinite multiplicity of abelian subalgebras in free group subfactors
Abstract
We obtain an estimate of Voiculescu's (modified) free entropy dimension for generators of a II1-factor M with a subfactor N containing an abelian subalgebra 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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