Thomas Sinclair

  1. On cocycle superrigidity for Gaussian actions.

    Authors: Jesse Peterson, Thomas Sinclair
    Subjects: Operator Algebras
    Abstract

    We present a general setting to investigate U_fin-cocycle superrigidity for
    Gaussian actions in terms of closable derivations on von Neumann algebras. In
    this setting we give new proofs to some U_fin-cocycle superrigidity results of
    S. Popa and we produce new examples of this phenomenon. We also use a result of
    K. Schmidt to give a necessary cohomological condition on a group
    representation in order for the resulting Gaussian action to be U_fin-cocycle
    superrigid.

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