Noncommutative topological dynamics and compact actions on \(C^*\)- algebras

DOI10.1016/0022-1236(84)90037-5zbMath0556.46039OpenAlexW2087387861MaRDI QIDQ760885

Roberto Longo, Costel Peligrad

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90037-5

zbMATH Keywords

\(C^*\)-dynamical systemscompact automorphism groupfixed-point subalgebraminimality of a topological dynamical systemstandard \(W^*\)-inclusionstopologically transitive action

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (19)

Algebraic K-systems ⋮ Quasi-product actions of a compact abelian group on a \(C^*\)-algebra ⋮ Approximate equivalence for representations of \(C^*\)-algebras and \(C^*\)-dynamical systems ⋮ Duality for compact group actions on operator algebras and applications: Irreducible inclusions and Galois correspondence ⋮ Duality type results and ergodic actions of simple Lie groups on operator algebras ⋮ Strong asymptotic abelianness for entropic \(K\)-systems ⋮ Duality for automorphisms on a compact C*-dynamical system ⋮ Noncommutative topological dynamics ⋮ A note on noncommutative unique ergodicity and weighted means ⋮ Relative ergodic properties of C*-dynamical systems ⋮ Thermal states in conformal QFT. II ⋮ Measurable bundles of \(C^*\)-dynamical systems and its applications ⋮ A Galois correspondence for compact group actions on C\(^{\ast}\)-algebras ⋮ Compact Actions Commuting with Ergodic Actions and Applications to Crossed Products ⋮ Skew-product dynamical systems for crossed product \(C^\ast \)-algebras and their ergodic properties ⋮ Ergodic properties of the Anzai skew-product for the non-commutative torus ⋮ Mixing properties of quantum systems ⋮ Standard and split inclusions of von Neumann algebras ⋮ EMBEDDING ERGODIC ACTIONS OF COMPACT QUANTUM GROUPS ON C*-ALGEBRAS INTO QUOTIENT SPACES

Cites Work

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• Derivations vanishing on \(S(\infty)\)
• Standard and split inclusions of von Neumann algebras
• Derivations in \(C^*\)-algebras commuting with compact actions
• A note on the \(\Gamma\)-spectrum of an automorphism group
• Unbounded derivations tangential to compact groups of automorphisms
• Unbounded derivations commuting with compact group actions
• Ergodic theory. Introductory lectures
• Some remarks on C*-dynamical systems with a compact abelian group
• Applications of the Connes spectrum to \(C^*\)-dynamical systems
• Derivations commuting with abelian gauge actions on lattice systems
• Invariant states and asymptotic abelianness
• On some groups of automorphisms of von Neumann algebras with cyclic and separating vector
• Conditional expectations in von Neumann algebras
• Dynamical semigroups commuting with compact abelian actions
• An Algebraic Approach to Quantum Field Theory
• Locally compact transformation groups and 𝐶*- algebras

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