A weak approximate innerness for abelian actions on \(C^*\)-algebras

DOI10.1016/0022-1236(91)90161-WzbMath0741.46032MaRDI QIDQ1180532

Akitaka Kishimoto

Publication date: 27 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-dynamical systemapproximately innerfaithful family of coherent irreducible representationsstrongly continuous one-parameter automorphism groupweak approximate innerness

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items

Unbounded derivations in AT algebras

Cites Work

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• Type I orbits in the pure states of a \(C^ *\)-dynamical system
• Quasi-product actions of a compact abelian group on a \(C^*\)-algebra
• Existence of ground states and KMS states for approximately inner dynamics
• Central Sequences and Inner Derivations of Separable C ∗ -Algebras