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Stefaan Vaes

  1. A classification of all finite index subfactors for a class of group-measure space II_1 factors.

    Thu, 02/11/2010 - 16:02 — SomNambul
    Authors: Stefaan Vaes, Steven Deprez
    Subjects: Operator Algebras
    Abstract

    We provide a family of group measure space II_1 factors for which all finite
    index subfactors can be explicitly listed. In particular, the set of all
    indices of irreducible subfactors can be computed. Concrete examples show that
    this index set can be any set of natural numbers that is closed under taking
    divisors.

  2. An inner amenable group whose von Neumann algebra does not have property Gamma.

    Wed, 09/09/2009 - 22:08 — SomNambul
    Authors: Stefaan Vaes
    Subjects: Operator Algebras
    Abstract

    We construct inner amenable groups G with infinite conjugacy classes and such
    that the associated II_1 factor does not have property Gamma of Murray and von
    Neumann. This solves a problem posed by Effros in 1975.

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