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Orbit Equivalence and Von Neumann Rigidity for Actions of Wreath Product Groups

  • Author(s): Sizemore, James Owen
  • Advisor(s): Popa, Sorin T
  • et al.
Abstract

We use deformation-rigidity theory in the von Neumann algebra framework to study probability measure preserving actions by wreath product groups and their associated von Neumann

algebras. In particular, we single out large families of wreath product groups satisfying various types of orbit equivalence (OE) rigidity.

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