Dual action on a von Neumann algebra and Takesaki's duality for a locally compact group

DOI10.2977/prims/1195190377zbMath0363.46062OpenAlexW2067803119MaRDI QIDQ1240403

Yoshiomi Nakagami

Publication date: 1977

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195190377

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Positive definite functions on groups, semigroups, etc. (43A35)

Related Items (11)

Hopf actions on vertex operator algebras. II: Smash product ⋮ Full and reduced C*-coactions ⋮ Produit croise d'une algebre de von Neumann par une algebre de Kac. II ⋮ A characterization of a coaction reduced to that of a closed subgroup ⋮ Duality for crossed products of von Neumann algebras ⋮ Duality for dual covariance algebras ⋮ On the invariant \(\Gamma(\alpha)\) in \(C^*\)-dynamical systems ⋮ Ergodic actions by compact groups on C*-algebras ⋮ Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres ⋮ On the normalizer of certain subalgebras of group-measure factors ⋮ Group-Graded Rings, Smash Products, and Group Actions

Cites Work

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• Duality for crossed products and the structure of von Neumann algebras of type III
• On groups of automorphisms of operator algebras
• Crossed products of von Neumann algebras by compact groups
• On the weakly continuous constant field of Hilbert space and its application to the reduction theory of von Neumann algebra
• On invariants \(G(\sigma)\) and \(\Gamma(\sigma)\) for an automorphism group of a von Neumann algebra
• Fields, observables and gauge transformations. I
• On a duality for locally compact groups
• Structure of some von Neumann algebras with isolated discrete modular spectrum
• A theorem of Stone and von Neumann
• Duality for crossed products of von Neumann algebras by locally compact groups
• Duality Theory for Covariant Systems
• Une classification des facteurs de type ${\rm III}$
• Measurable, continuous and smooth vectors for semi-groups and group representations
• L'algèbre de Fourier d'un groupe localement compact

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