2021/08/13 by Yair Hartman, Hartman, Yair, Mehrdad Kalantar +1
Engineering · Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Quantum chaos and dynamical systems #Stability and Controllability of Differential Equations #math.DS #math.GR #math.OA
paper · pdf · doi:10.48550/arxiv.2108.06100
arxiv created 2021/08/13 · openalex publication_date 2021/08/13 · arxiv updated 2021/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.