Stable rank one and real rank zero for crossed products by finite group actions with the tracial Rokhlin property

DOI10.1007/s11401-007-0563-7zbMath1186.46069OpenAlexW2040066702MaRDI QIDQ1044806

Qing Zhai Fan, Xiao Chun Fang

Publication date: 15 December 2009

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-007-0563-7

zbMATH Keywords

\(C^*\)-algebrareal rank zerostable rank one

Mathematics Subject Classification ID

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

Related Items (5)

A class of \(C^\ast\)-algebras with non-stable \(K_1\)-group property ⋮ Some \(K_0\)-monoid properties preserved by tracial approximation ⋮ The Cuntz semigroup and the radius of comparison of the crossed product by a finite group ⋮ Crossed products by finite group actions with certain tracial Rokhlin property ⋮ Certain properties for crossed products by automorphisms with a certain non-simple tracial Rokhlin property

Cites Work

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• Crossed products by finite group actions with the Rokhlin property
• Stability for integer actions on UHF \(C^*\)-algebras
• The Rokhlin property and the tracial topological rank
• Classification of certain infinite simple \(C^*\)-algebras
• 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
• The Rohlin property for automorphisms of UHF algebras

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