Finite von Neumann algebras admit uniformly recurrent subalgebras with arbitrary minimal Polish topology, and C*-simplicity of Γ is equivalent to absence of non-trivial amenable URAs in crossed products.
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Uniformly recurrent subalgebras in finite von Neumann algebras
Finite von Neumann algebras admit uniformly recurrent subalgebras with arbitrary minimal Polish topology, and C*-simplicity of Γ is equivalent to absence of non-trivial amenable URAs in crossed products.