On the weakly continuous constant field of Hilbert space and its application to the reduction theory of von Neumann algebra

DOI10.2748/tmj/1178240787zbMath0357.46064OpenAlexW2034299691MaRDI QIDQ1238119

Hideo Takemoto

Publication date: 1976

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

Full work available at URL: https://doi.org/10.2748/tmj/1178240787

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) General theory of von Neumann algebras (46L10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Related Items (2)

Amenable dynamical systems over locally compact groups ⋮ Dual action on a von Neumann algebra and Takesaki's duality for a locally compact group

Cites Work

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• On the topological reduction of finite von Neumann algebras
• Decomposable operators in continuous fields of Hilbert spaces
• On a characterization of AW\(^*\)-modules and a representation of Gelfand type of noncommutative operator algebras
• On the tensor products of von Neumann algebras
• On the homeomorphism of von Neumann algebra
• A complement to 'On the homomorphism of von Neumann algebra'
• Algebras of type I
• On the direct product of \(W^*\)-algebras
• On the reduction theory of von Neumann
• Modules Over Operator Algebras

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