The Rohlin property for \(\mathbb{Z}^2\)-actions on UHF algebras

DOI10.2969/jmsj/05130583zbMath0947.46044OpenAlexW1963720509MaRDI QIDQ1306438

Hideki Nakamura

Publication date: 6 November 2000

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

Full work available at URL: https://doi.org/10.2969/jmsj/05130583

zbMATH Keywords

classificationautomorphism\(C^*\)-algebrasRohlin propertyUHF algebrauniformly outer

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (17)

A Rokhlin type theorem for simple \(C^{\ast}\)-algebras of finite nuclear dimension ⋮ Equivariant Kirchberg-Phillips-type absorption for amenable group actions ⋮ Strongly self-absorbing 𝐶*-dynamical systems ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ Classification of uniformly outer actions of \(\mathbb Z^2\) on UHF algebras ⋮ \(\mathcal{Z}\)-stability of crossed products by strongly outer actions ⋮ Rokhlin dimension: absorption of model actions ⋮ On a categorical framework for classifying \(C^\ast\)-dynamics up to cocycle conjugacy ⋮ Classification of outer actions of \(\mathbb Z ^N\) on \(\mathcal O _2\) ⋮ \(\mathbb Z^2\)-actions on Kirchberg algebras ⋮ \({\mathbb{Z}}\)-actions on AH algebras and \({\mathbb{Z}^2}\)-actions on AF algebras ⋮ Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II ⋮ Rokhlin dimension for actions of residually finite groups ⋮ Rokhlin dimension of ℤm-actions on simple C∗-algebras ⋮ -actions on UHF algebras of infinite type ⋮ AF embeddability of crossed products of AF algebras by the integers ⋮ Rokhlin actions of finite groups on UHF-absorbing $\mathrm {C}^*$-algebras

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