Stationary C*-dynamical systems

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.

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

References in corpus (1)

• Characterization of linear groups whose reduced C*-algebras are simple

Cited by in corpus (8)

• Charmenability of arithmetic groups of product type
• Stationary characters on lattices of semisimple Lie groups
• Noncommutative Furstenberg boundary
• A generalized Powers averaging property for commutative crossed products
• Noncommutative ergodic theory of higher rank lattices
• On simplicity of intermediate C*-algebras
• Random walks on dense subgroups of locally compact groups
• Arboreal structures on groups and the associated boundaries