Quasivectors and Tomita–Takesaki Theory for Operator Algebras on Π1-Spaces

DOI10.1142/S0129055X97000270zbMath0904.46042OpenAlexW2089840240MaRDI QIDQ4385830

Viktor S. Shul'man

Publication date: 21 January 1999

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x97000270

zbMATH Keywords

double commutant theoremindefinite scalar product\(J\)-symmetric operatorcyclic and separatingantilinear \(J\)-involutionfundamental Tomita's theoremPontryagin \(\Pi_1\)-spacesquasivectors on operator *-algebrasTomita-Takesaki theory for quasivectors

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators on spaces with an indefinite metric (47B50) Hilbert algebras (46K15)

Related Items (1)

On representations of groups and algebras in spaces with indefinite metric

Cites Work

• On field algebras in quantum theory with indefinite metric
• Field algebras in quantum theory with indefinite metric. II. Formulation of a modular theory in Pontryagin space

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