Duality for compact group actions on operator algebras and applications: Irreducible inclusions and Galois correspondence

DOI10.1142/S0129167X20500676zbMath1465.46062arXiv2002.11012OpenAlexW3105465479MaRDI QIDQ5130962

Costel Peligrad

Publication date: 31 October 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11012

zbMATH Keywords

dynamical systemGalois correspondenceergodic actionsminimal actionsalgebra of local multipliersirreducible inclusions

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Compact groups (22C05) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• A Galois correspondence for compact group actions on C\(^{\ast}\)-algebras
• Noncommutative topological dynamics and compact actions on \(C^*\)- algebras
• Strong topological transitivity and \(C^*\)-dynamical systems
• Locally compact group actions on \(C^ *\)-algebras and compact subgroups
• Quasi-product actions of a compact abelian group on a \(C^*\)-algebra
• Remarks on compact automorphism groups of a certain von Neumann algebra
• Approximating derivations on ideals of \(C^*\)-algebras
• A Galois correspondence for compact groups of automorphisms of von Neumann algebras with a generalization to Kac algebras
• Quasi-product actions of a compact group on a \(C^*\)-algebra
• Groups of linear isometries on multiplier \(C^ *\)-algebras.
• Spectra for compact quantum group coactions and crossed products
• Compact Actions Commuting with Ergodic Actions and Applications to Crossed Products
• The unitary implementation of a locally compact quantum group action
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