The tracial Rokhlin property for actions of amenable groups on \(C^*\)-algebras

DOI10.1216/RMJ-2018-48-4-1307zbMath1408.46066arXiv1410.8170MaRDI QIDQ1799897

Qingyun Wang

Publication date: 19 October 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8170

zbMATH Keywords

\(C^*\)-algebraamenable grouptracial Rokhlin property

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (3)

Strongly outer actions of amenable groups on \(\mathcal{Z}\)-stable nuclear \(C^\ast\)-algebras ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ The weak tracial Rokhlin property for finite group actions on simple $C^*$-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rokhlin dimension: obstructions and permanence properties
• \(\mathcal{Z}\)-stability of crossed products by strongly outer actions
• Dimension functions and traces on C*-algebras
• Action of discrete amenable groups on von Neumann algebras
• Entropy and isomorphism theorems for actions of amenable groups
• On the structure of simple \(C^*\)-algebras tensored with a UHF-algebra
• The Rohlin property for shifts on UHF algebras and automorphisms of Cuntz algebras
• Tracially \(\mathcal Z\)-absorbing \(C^\ast\)-algebras
• Simple nuclear \(C^{*}\)-algebras of tracial topological rank one
• On tracial approximation
• Ƶ-Stability of Crossed Products by Strongly Outer Actions II
• The tracial Rokhlin property for actions of finite groups on C*-algebras
• Invariant means and finite representation theory of 𝐶*-algebras
• Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
• Furstenberg transformations on irrational rotation algebras
• The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras
• Actions of finite groups on the hyperfinite type 𝐼𝐼₁ factor
• Outer conjugacy classes of automorphisms of factors
• Non-simple purely infinite C*-algebras
• The Rohlin property for automorphisms of UHF algebras
• Characterization of product-type actions with the Rokhlin properties
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
• Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras

This page was built for publication: The tracial Rokhlin property for actions of amenable groups on \(C^*\)-algebras