CERTAIN APERIODIC AUTOMORPHISMS OF UNITAL SIMPLE PROJECTIONLESS C*-ALGEBRAS

DOI10.1142/S0129167X09005741zbMath1183.46061arXiv0807.4761OpenAlexW2964344254MaRDI QIDQ3648307

Yasuhiko Sato

Publication date: 25 November 2009

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.4761

zbMATH Keywords

automorphism\(C^*\)-algebraK-theoryRohlin propertyJiang-Su algebra

Mathematics Subject Classification ID

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

Related Items (7)

Equivariant Kirchberg-Phillips type absorption for the Razak-Jacelon algebra ⋮ A characterization of the Razak-Jacelon algebra ⋮ \(\mathcal{Z}\)-stability of crossed products by strongly outer actions ⋮ The Rohlin property for automorphisms of the Jiang-Su algebra ⋮ Strict comparison and \(\mathcal{Z}\)-absorption of nuclear \(C^*\)-algebras ⋮ \({\mathbb{Z}}\)-actions on AH algebras and \({\mathbb{Z}^2}\)-actions on AF algebras ⋮ Kishimoto's conjugacy theorems in simple \(C^\ast\)-algebras of tracial rank one

Cites Work

• On the classification of \(C^*\)-algebras of real rank zero. II
• Stability for integer actions on UHF \(C^*\)-algebras
• Unbounded derivations in AT algebras
• The Rohlin property for shifts on UHF algebras and automorphisms of Cuntz algebras
• Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
• Furstenberg transformations on irrational rotation algebras
• Outer conjugacy classes of automorphisms of factors
• Inductive Limits of Interval Algebras: The Tracial State Space
• Tracially AF 𝐶*-algebras
• Aperiodic automorphisms of nuclear purely infinite simple $C^{\ast}$-algebras

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