Tight inclusions of C*-dynamical systems

Yair Hartman, Mehrdad Kalantar

Research output: Working paper/PreprintPreprint

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Abstract

We study a notion of tight inclusions of C- and W∗ -dynamical systems which is meant to capture a tension between topological and measurable rigidity of boundary actions. An important case of such inclusions are C(X) ⊂ L(X, ν) for measurable boundaries with unique stationary compact models. We discuss the implications of this phenomenon in the description of Zimmer amenable intermediate factors. Furthermore, we prove applications in the problem of maximal injectivity of von Neumann algebras.
Original languageEnglish
StatePublished - 1 Aug 2021

Keywords

  • Mathematics - Operator Algebras
  • Mathematics - Dynamical Systems
  • Mathematics - Group Theory

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