Ergodic actions by compact groups on C*-algebras

DOI10.1007/BF01215076zbMath0417.46067OpenAlexW2075763735MaRDI QIDQ755108

Sergio A. Albeverio, Raphael J. Høegh-Krohn

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172989

zbMATH Keywords

irreducible representationmultiplicitytracebicharactersrepresentations of compact groups* automorphisms of C*-algebrasergodic actionsunique invariant state

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Compact groups (22C05) Classifications of (C^*)-algebras (46L35) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (11)

Quasi-product actions of a compact abelian group on a \(C^*\)-algebra ⋮ Ergodic actions of group extensions on von Neumann algebras ⋮ Free actions of compact quantum groups on \(C^*\)-algebras. III. ⋮ A reconstruction theorem for Connes-Landi deformations of commutative spectral triples ⋮ Galois theory for braided tensor categories and the modular closure ⋮ Free actions of compact abelian groups on \(C^{\ast}\)-algebras. I. ⋮ Compact Abelian Prime Actions on Von Neumann Algebras ⋮ ON SECOND COHOMOLOGY OF DUALS OF COMPACT GROUPS ⋮ Actions of categories by Lipschitz morphisms on limits for the Gromov-Hausdorff propinquity ⋮ Derivations in \(C^*\)-algebras commuting with compact actions ⋮ On the Chern-Gauss-Bonnet theorem and conformally twisted spectral triples for \(C^*\)-dynamical systems

Cites Work

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