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Standard generalized vectors for algebras of unbounded operators

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Publication:1907761
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DOI10.2969/jmsj/04720329zbMath0884.47023OpenAlexW2018354388MaRDI QIDQ1907761

Atsushi Inoue

Publication date: 18 March 1998

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

Full work available at URL: https://doi.org/10.2969/jmsj/04720329


zbMATH Keywords

one-parameter groupgeneralized von Neumann algebraKMS-conditionstandard generalized vectors\(*\)-automorphismsConnes cocycle theoremPedersen-Takesaki Radon-Nikodým theoremquasi-weightTomita-Takesaki theory in \(\text{O}^*\)-algebras


Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)


Related Items

Standard systems for semifinite O$^{*}$-algebras ⋮ Standard generalized vectors and \({}^*\)-automorphism groups of partial \(O^*\)-algebras ⋮ Unnamed Item



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