APPROXIMATELY INNER FLOWS ON SEPARABLE C*-ALGEBRAS

DOI10.1142/S0129055X02001284zbMath1030.46089OpenAlexW2095224759MaRDI QIDQ4420450

Akitaka Kishimoto

Publication date: 17 August 2003

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

Full work available at URL: https://doi.org/10.1142/s0129055x02001284

zbMATH Keywords

Connes spectrumAI flowsapproximately inner one-parameter automorphism groups

Mathematics Subject Classification ID

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

Related Items (5)

CORE SYMMETRIES OF A FLOW ⋮ \(C^*\)-crossed products by \(\mathbb R\). III: Traces ⋮ Multiplier cocycles of a flow on a \(C^*\)-algebra ⋮ THE REPRESENTATIONS AND ENDOMORPHISMS OF A SEPARABLE NUCLEAR C*-ALGEBRA ⋮ Type III representations and automorphisms of some separable nuclear \(C^*\)-algebras.

Cites Work

• Type I orbits in the pure states of a \(C^ *\)-dynamical system
• Type I orbits in the pure states of a \(C^ *\)-dynamical system. II
• Generation of semigroups, and two-dimensional quantum lattice systems
• Existence of ground states and KMS states for approximately inner dynamics
• Unbounded derivations in AT algebras
• Locally representable one-parameter automophism groups of AF algebras and KMS states
• A Rohlin property for one-parameter automorphism groups
• Representations of uniformly hyperfinite algebras and their associated von Neumann rings
• PAIRS OF SIMPLE DIMENSION GROUPS
• Universally weakly inner one-parameter automorphism groups of seperable $C^*$-algebras, II.
• Embedding of exact C* -algebras in the Cuntz algebra 𝒪2
• Embedding of continuous fields of C* -algebras in the Cuntz algebra 𝒪2

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