Rokhlin actions of finite groups on UHF-absorbing $\mathrm {C}^*$-algebras

DOI10.1090/tran6697zbMath1371.46054arXiv1403.7312OpenAlexW3125570905MaRDI QIDQ2833000

Selçuk Barlak, Gábor Szabó

Publication date: 16 November 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7312

zbMATH Keywords

crossed productRokhlin actionsUHF-absorbing \(C^\ast\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35)

Related Items (13)

Q-system completion for \(C^\ast 2\)-categories ⋮ Strongly self-absorbing 𝐶*-dynamical systems ⋮ Anomalous symmetries of classifiable C*-algebras ⋮ Symmetries of simple \(A \mathbb{T}\)-algebras ⋮ Dynamical comparison and \(\mathcal{Z} \)-stability for crossed products of simple \(C^\ast \)-algebras ⋮ Cartan subalgebras and the UCT problem. II ⋮ Rokhlin dimension: duality, tracial properties, and crossed products ⋮ A REMARK ON THE TRACIAL ROKHLIN PROPERTY ⋮ On a lifting question of Blackadar ⋮ Cartan subalgebras and the UCT problem ⋮ On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras ⋮ Actions of certain torsion-free elementary amenable groups on strongly self-absorbing \(\text{C}^\ast\)-algebras ⋮ Finite decomposition rank for virtually nilpotent groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the classification of \(C^*\)-algebras of real rank zero. II
• Finite group actions on \(C^*\)-algebras with the Rohlin property. I
• Classification of inductive limits of 1-dimensional NCCW complexes
• Quasi-free actions of finite groups on the Cuntz algebra \(\mathcal{O}_\infty\)
• The Rokhlin property for endomorphisms and strongly self-absorbing \(C^{*}\)-algebras
• \(\mathbb Z^2\)-actions on Kirchberg algebras
• Action of discrete amenable groups on von Neumann algebras
• The Rohlin property for \(\mathbb{Z}^2\)-actions on UHF algebras
• Classification of simple \(C^*\)-algebras of tracial topological rank zero
• Finite group actions on \(C^{*}\)-algebras with the Rohlin property. II
• Period two automorphisms of UHF C*-algebras
• A classification theorem for nuclear purely infinite simple \(C^*\)-algebras
• Symmetries of the CAR algebra
• Picard groups of certain stably projectionless C*-algebras
• Homomorphisms from AH-algebras
• The tracial Rokhlin property for actions of finite groups on C*-algebras
• Models of finite group actions.
• Strongly self-absorbing $C^{*}$-algebras
• Finite group actions on certain stably projectionless C*-algebras with the Rohlin property
• A construction of actions on Kirchberg algebras which induce given actions on their K-groups
• Fiberwise KK-equivalence of continuous fields of C*-algebras
• Classification of automorphisms of hyperfinite factors of type ${\text{II}}_1$ and ${\text{II}}_\infty$ and application to type ${\text{III}}$ factors
• Simple 𝐴𝐻-algebras of real rank zero
• Symmetries of Kirchberg Algebras
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
• Tracially AF 𝐶*-algebras
• A simple, monotracial, stably projectionless C *‐algebra
• Crossed products by actions of finite groups with the Rokhlin property
• Non-cyclotomic presentations of modules and prime-order automorphisms of Kirchberg algebras
• Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras
• The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras
• Equivariant \(\ast\)-homomorphisms, Rokhlin constraints and equivariant UHF-absorption

This page was built for publication: Rokhlin actions of finite groups on UHF-absorbing $\mathrm {C}^*$-algebras