Crossed product \(C^*\)-algebras by finite group actions with the tracial Rokhlin property

DOI10.1216/RMJ-2011-41-6-1755zbMath1238.46051arXiv0902.2865MaRDI QIDQ658366

Dawn Archey

Publication date: 12 January 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.2865

zbMATH Keywords

stable rankcrossed productreal rank

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

Tracially sequentially split *-homomorphisms between \(C^*\)-algebras ⋮ Rokhlin-type properties of group actions on operator algebras ⋮ Rokhlin dimension: duality, tracial properties, and crossed products ⋮ The weak tracial Rokhlin property for finite group actions on simple $C^*$-algebras ⋮ Crossed products by finite group actions with the Rokhlin property ⋮ Group actions on Smale space -algebras ⋮ The Rohlin property for automorphisms of the Jiang-Su algebra ⋮ Quasidiagonal traces and crossed products ⋮ Finite cyclic group actions with the tracial Rokhlin property ⋮ Rokhlin dimension and \(C^\ast\)-dynamics

Cites Work

• Symmetries of the CAR algebra
• Cancellation for inclusions of C*-algebras of finite depth
• Stable and real rank for crossed products by automorphisms with the tracial Rokhlin property
• The structure of crossed products of irrational rotation algebras by finite subgroups of SL2(ℤ)
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