Stationary C*-dynamical systems

2017/12/29 by Yair Hartman, Hartman, Yair, Mehrdad Kalantar +1 · 3 citations
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #math.GR #math.OA

paper · pdf · doi:10.48550/arxiv.1712.10133

With an appendix by Uri Bader, Yair Hartman, and Mehrdad Kalantar; accepted to the Journal of the European Mathematical Society (JEMS)

openalex publication_date 2017/12/29 · arxiv created 2020/11/08 · arxiv updated 2020/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of stationary actions in the context of C*-algebras. We develop the basics of the theory, and provide applications to several ergodic theoretical and operator algebraic rigidity problems.

Cited by

• Non-commutative Intermediate Factor theorem associated with W^*-dynamics of product groups
• On simplicity of intermediate C*-algebras
• Arboreal structures on groups and the associated boundaries

Related

• Stationary dynamical systems
• Equivariant property Gamma and the tracial local-to-global principle for C*-dynamics
• Rigidity theory for C^*-dynamical systems and the "Pedersen Rigidity Problem"
• Dynamical Perturbing and C^*-algebra Lifting Problems
• Tight inclusions of C*-dynamical systems