Strongly outer group actions on UHF algebras

DOI10.1142/S1793525318500231zbMath1408.46065OpenAlexW2622205146MaRDI QIDQ4685046

Michael Sun

Publication date: 4 October 2018

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793525318500231

zbMATH Keywords

classificationcrossed productsdynamical systemsamenable groupsRokhlin property\(C^\ast\)-algebrasUHF algebratracial rank zerostrongly outer actionalmost abelian grouptracial

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Means on groups, semigroups, etc.; amenable groups (43A07)

Cites Work

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• On groups with quasidiagonal \(C^\ast\)-algebras
• Decomposition rank of UHF-absorbing \(C^\ast\)-algebras
• Simple \(C^{*}\)-algebras with locally finite decomposition rank
• Outer automorphisms and reduced crossed products of simple C*-algebras
• Amenability of crossed products of \(C^*\)-algebras
• The Rohlin property for shifts on UHF algebras and automorphisms of Cuntz algebras
• Ƶ-Stability of Crossed Products by Strongly Outer Actions II
• Tracially AF 𝐶*-algebras
• THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS
• The Rohlin property for automorphisms of UHF algebras
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
• Groups with Representations of Bounded Degree

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