Duality and von Neumann algebras

DOI10.1090/S0002-9904-1971-12752-0zbMath0238.46062OpenAlexW4252341372MaRDI QIDQ5648965

Masamichi Takesaki

Publication date: 1971

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1971-12752-0

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Duality theorems for locally compact groups (22D35) Tensor products in functional analysis (46M05) Dual spaces of operator algebras (47L50)

Related Items (7)

Duality Theory for Covariant Systems ⋮ Duality of algebras with an involution and generalized shift operators ⋮ Fourier duality as a quantization principle ⋮ Characterization of objects dual to locally compact groups ⋮ Geometrical state theory, the von Neumann boundary, and duality of the \(C^*\)-algebras ⋮ Duality and subgroups. II ⋮ Topological groups

Cites Work

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• Poids sur une \(C^ *\)-algèbre
• A duality theorem for locally compact groups. I - IV
• On a duality for locally compact groups
• Tomita's theory of modular Hilbert algebras and its applications
• The duality of compact semigroups and \(C^ *\)-bigebras
• A non-commutative extension of abstract integration
• Integration Theorems For Gages and Duality for Unimodular Groups
• L'algèbre de Fourier d'un groupe localement compact
• Remarks on the Reduction Theory of Von Neumann Algebras
• A Characterization of Group Algebras as a Converse of Tannaka-Stinespring-Tatsuuma Duality Theorem
• Group duality and isomorphisms of Fourier and Fourier-Stieltjes algebras from a 𝑊*-algebra point of view

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