Quasi-free actions of finite groups on the Cuntz algebra \(\mathcal{O}_\infty\)

DOI10.2748/TMJ/1325886288zbMath1242.46077arXiv1012.0089OpenAlexW2963635454MaRDI QIDQ765678

Masaki Izumi, Pavle Goldstein

Publication date: 21 March 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0089

zbMATH Keywords

finite group actionsKirchberg algebrasCuntz algebrasquasi-free actions

Mathematics Subject Classification ID

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

Related Items (9)

Equivariant Kirchberg-Phillips-type absorption for amenable group actions ⋮ Strongly self-absorbing 𝐶*-dynamical systems ⋮ Equivariant \({\mathcal{Z}} \)-stability for single automorphisms on simple \(C^*\)-algebras with tractable trace simplices ⋮ Rokhlin dimension: absorption of model actions ⋮ Rokhlin dimension: duality, tracial properties, and crossed products ⋮ On a categorical framework for classifying \(C^\ast\)-dynamics up to cocycle conjugacy ⋮ Poly-\(\mathbb{Z}\) group actions on Kirchberg algebras. II ⋮ The Rokhlin property vs. Rokhlin dimension 1 on unital Kirchberg algebras ⋮ Rokhlin actions of finite groups on UHF-absorbing $\mathrm {C}^*$-algebras

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• Approximate unitary equivalence of homomorphisms from O_{\infty}

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