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Separable boundaries for non-hyperbolic groups

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arxiv 2002.01466 v4 pith:KIUYJTLZ submitted 2020-02-04 math.OA

classification math.OA
keywords groupsboundariesnon-hyperbolicseparablealgebraicalignmentdiscreteexamples
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We exhibit examples of separable boundaries for non-hyperbolic groups. The main ingredient is the alignment property introduced by Furman in the study of rigidity properties of discrete subgroups of algebraic groups.

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  1. 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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