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arxiv: 1712.10133 · v3 · pith:HTHHGFAWnew · submitted 2017-12-29 · 🧮 math.OA · math.GR

Stationary C*-dynamical systems

classification 🧮 math.OA math.GR
keywords stationaryactionsalgebraicalgebrasapplicationsbasicscontextdevelop
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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.

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  1. Uniformly recurrent subalgebras in finite von Neumann algebras

    math.OA 2026-06 unverdicted novelty 8.0

    Introduces uniformly recurrent subalgebras (URAs) and proves they characterize C*-simplicity of groups via amenable crossed products while allowing arbitrary topological complexity.