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Stationary C*-dynamical systems

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arxiv 1712.10133 v3 pith:HTHHGFAW submitted 2017-12-29 math.OA math.GR

Yair Hartman , Mehrdad Kalantar This is my paper · ORCID
classification math.OAmath.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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Cited by 2 Pith papers

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  1. Stationary characters on lattices of semisimple Lie groups

    math.GR 2019-08 accept novelty 8.0 of 10

    Every stationary character on an irreducible lattice of a higher-rank semisimple Lie group is a genuine character, yielding new rigidity and URS finiteness results.

  2. Non-commutative Intermediate Factor theorem associated with $W^*$-dynamics of product groups

    math.OA 2025-08 conditional novelty 7.0 of 10

    Every G-invariant intermediate von Neumann algebra between N and N⊗̄L∞(Poisson boundary) splits as N⊗̄L∞(C) for a (G,μ)-boundary C, when G is a product of two groups and each factor acts ergodically on N.

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