Standard systems for semifinite O$^{*}$-algebras

DOI10.1090/S0002-9939-97-03962-2zbMath0887.47036OpenAlexW1573419963MaRDI QIDQ4372375

Atsushi Inoue

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03962-2

zbMATH Keywords

commutant\(O^*\)-algebraTomita-Takesaki theorystandard systemstandard generalized vectornon-singular positive selfadjoint operator

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) General theory of von Neumann algebras (46L10) Hilbert algebras (46K15)

Related Items (1)

Crossed products of algebras of unbounded operators

Cites Work

• Unnamed Item
• An unbounded generalization of the Tomita-Takesaki theory
• A bounded operator approach to Tomita-Takesaki theory
• Unbounded representations of \(^*\)-algebras
• Cyclic generalized vectors for algebras of unbounded operators
• Unbounded operator algebras and representation theory.
• A new approach to the Tomita-Takesaki theory of generalized Hilbert algebras
• Standard generalized vectors for algebras of unbounded operators
• Tomita's theory of modular Hilbert algebras and its applications
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• A non-commutative extension of abstract integration
• Unbounded Operator Algebras
• Algèbres unitaires et espaces d'Ambrose

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