Certain properties for crossed products by automorphisms with a certain non-simple tracial Rokhlin property

DOI10.1017/S0143385712000430zbMath1302.46040MaRDI QIDQ2873990

Qing Zhai Fan, Xiao Chun Fang

Publication date: 28 January 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

crossed productfinite group actionRokhlin propertytracial ranksimple \(C^*\)-algebratracial approximationproperty SP

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Dynamical systems and the theory of (C^*)-algebras (37A55)

Related Items (3)

The tracial class property for crossed products by finite group actions ⋮ Crossed products by finite group actions with certain tracial Rokhlin property ⋮ Tracial approximation is stable

Cites Work

• The tracial rank for crossed products by finite group actions
• Special functions associated with a certain fourth-order differential equation
• On the classification of \(C^*\)-algebras of real rank zero. II
• Stable rank one and real rank zero for crossed products by finite group actions with the tracial Rokhlin property
• Stability for integer actions on UHF \(C^*\)-algebras
• On the classification of inductive limits of sequences of semisimple finite-dimensional algebras
• Classification of simple \(C^*\)-algebras of tracial topological rank zero
• Classification of certain infinite simple \(C^*\)-algebras
• The tracial Rokhlin property for automorphisms on non-simple \(C^*\)-algebras
• On tracial approximation
• The Tracial Topological Rank of C*-Algebras
• Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
• Outer conjugacy classes of automorphisms of factors

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