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The Furstenberg boundary of groupoids

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Publication:820478
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DOI10.1134/S0037446621050013zbMath1484.46071OpenAlexW3202315909MaRDI QIDQ820478

Massoud Amini, Farid Behrouzi

Publication date: 27 September 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446621050013


zbMATH Keywords

Furstenberg boundarygroupoid\( {\mathcal{G}} \)-spaceproximal spacestrongly proximal space


Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Topological groupoids (including differentiable and Lie groupoids) (22A22)





Cites Work

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  • \(C^*\)-simplicity and the unique trace property for discrete groups
  • Injective envelopes of \(C^*\)-dynamical systems
  • A groupoid approach to C*-algebras
  • Proximal flows
  • Groupoids, inverse semigroups, and their operator algebras
  • Boundaries of reduced \(C^\ast\)-algebras of discrete groups
  • A Poisson formula for semi-simple Lie groups
  • On some permanence properties of exact groupoids




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