A Rohlin property for one-parameter automorphism groups

DOI10.1007/BF02100099zbMath0853.46067MaRDI QIDQ1919257

Akitaka Kishimoto

Publication date: 12 January 1997

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

one-parameter automorphism groupsRohlin propertycocyclecrossed productcoboundaryapproximate eigenunitariesunital simple \(C^*\)-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Related Items

ROHLIN PROPERTY FOR SHIFT AUTOMORPHISMS, Rohlin flows on von Neumann algebras, Rohlin flows on the Cuntz algebra \(\mathcal O_\infty\), ROHLIN FLOWS ON THE CUNTZ ALGEBRA ${\mathcal O}_2$, CORE SYMMETRIES OF A FLOW, The classification of Rokhlin flows on \(\mathrm{C}^*\)-algebras, Strongly self-absorbing 𝐶*-dynamical systems, Rokhlin-type properties of group actions on operator algebras, The Rokhlin property for inclusions of \(C^\ast\)-algebras, Rokhlin dimension: absorption of model actions, Rokhlin dimension: duality, tracial properties, and crossed products, Locally compact separable abelian group actions on factors with the Rokhlin property, \(C^*\)-crossed products by \(\mathbb R\). III: Traces, The weak tracial Rokhlin property for finite group actions on simple $C^*$-algebras, On a categorical framework for classifying \(C^\ast\)-dynamics up to cocycle conjugacy, PAIRS OF SIMPLE DIMENSION GROUPS, The spatial Rokhlin property for actions of compact quantum groups, Rokhlin dimension for flows, A Rohlin property for one-parameter automorphism groups of the hyperfinite II\(_1\) factor, AF FLOWS AND CONTINUOUS SYMMETRIES, APPROXIMATELY INNER FLOWS ON SEPARABLE C*-ALGEBRAS, A classification of flows on AFD factors with faithful Connes–Takesaki modules, The nuclear dimension of \(C^\ast \)-algebras associated to topological flows and orientable line foliations, Rokhlin dimension for actions of residually finite groups, AF embeddability of crossed products of AF algebras by the integers, Unbounded derivations in AT algebras, Locally representable one-parameter automophism groups of AF algebras and KMS states, UHF FLOWS AND COCYCLES, The Rohlin property for shifts of finite type

Cites Work

• Stability for integer actions on UHF \(C^*\)-algebras
• Spectral analysis for automorphisms of UHF \(C^*\)-algebras
• Type I orbits in the pure states of a \(C^ *\)-dynamical system
• Outer automorphisms and reduced crossed products of simple C*-algebras
• \(C^*\)-algebras of real rank zero
• Simple \(C^*\)-algebras generated by isometries
• Homotopy of a pair of approximately commuting unitaries in a simple \(C^*\)-algebra
• The Rohlin property for shifts on UHF algebras and automorphisms of Cuntz algebras
• Exponential rank of \(C^{\ast}\)-algebras with real rank zero and the Brown-Pedersen conjectures
• The Structure of Stable Algebraically Simple C*-Algebras
• A Property of Purely Infinite Simple C ∗ -Algebras
• Simple Stably Projectionless C*-Algebras Arising as Crossed Products
• Outer conjugacy classes of automorphisms of factors
• The crossed product of a UHF algebra by a shift
• The Rohlin property for automorphisms of UHF algebras
• The Rohlin Property For Quasi-Free Automorphisms of the Fermion Algebra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item