On the invariant \(\Gamma(\alpha)\) in \(C^*\)-dynamical systems

DOI10.2748/tmj/1178230099zbMath0392.46045OpenAlexW2036898705MaRDI QIDQ1251789

Hiroshi Takai, Akitaka Kishimoto

Publication date: 1978

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178230099

zbMATH Keywords

C*-Dynamical SystemsCommutative W*-Dynamical SystemsCompact Abelian GroupFixed AlgebraSimple C*-AlgebrasStructure of Type IiI Factors

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (7)

Locally compact group actions on \(C^ *\)-algebras and compact subgroups ⋮ Simplicity of crossed products of GCR algebras by abelian groups ⋮ 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 ⋮ Normal product states for fermions and twisted duality for CCR- and CAR- type algebras with application to the \(Yukawa_ 2 \)quantum field model

Cites Work

• On a duality for crossed products of C\(^*\)-algebras
• Inner*-automorphisms of simple \(C^*\)-algebras
• Groups of automorphisms with spectrum condition and the lifting problem
• Dual action on a von Neumann algebra and Takesaki's duality for a locally compact group
• The flow of weights on factors of type III
• Produits croises d'une \(C^ *\)-algèbre par un groupe d'automorphismes
• The even CAR-algebra
• States and automorphism groups of operator algebras
• Multipliers of C -algebras
• The Quasi-Orbit Space of Continuous C ∗ -Dynamical Systems
• Sur les $C^*$-algèbres
• Inductive Limits of Finite Dimensional C ∗ -Algebras

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