Compact Abelian groups of automorphisms of simple \(C^*\)-algebras

DOI10.1007/BF01695951zbMath0348.46049WikidataQ59767370 ScholiaQ59767370MaRDI QIDQ1234468

Dorte Olesen, Erling Størmer, Gert Kjaergård Pedersen

Publication date: 1977

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142456

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05)

Related Items (14)

Locally compact group actions on \(C^ *\)-algebras and compact subgroups ⋮ Quasi-product actions of a compact abelian group on a \(C^*\)-algebra ⋮ Applications of the Connes spectrum to C*-dynamical systems. II ⋮ Remarks on the fixed-point algebras of product type actions ⋮ Equivalence and KMS states on periodic C*-dynamical systems ⋮ Simplicity of crossed products of GCR algebras by abelian groups ⋮ Compact group actions on operator algebras and their spectra ⋮ A solution of the maximality problem for one-parameter dynamical systems ⋮ Compact Abelian groups of automorphisms of simple \(C^*\)-algebras ⋮ On the fixed point algebra of a UHF algebra under a periodic automorphism of product type ⋮ Some remarks on C*-dynamical systems with a compact abelian group ⋮ Applications of the Connes spectrum to \(C^*\)-dynamical systems ⋮ Ergodic actions by compact groups on C*-algebras ⋮ Unbounded derivations tangential to compact groups of automorphisms. II

Cites Work

• Inner*-automorphisms of simple \(C^*\)-algebras
• Compact Abelian groups of automorphisms of simple \(C^*\)-algebras
• On the invariant \(\Gamma(\alpha)\) in \(C^*\)-dynamical systems
• Spectra of ergodic transformations
• On the simplicity of the even CAR algebra and free field models
• The even CAR-algebra
• Multipliers of C -algebras
• Une classification des facteurs de type ${\rm III}$
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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