Direct integrals of standard forms of \(W^*\)-algebras

DOI10.1216/rmjm/1181073129zbMath0727.46040OpenAlexW2050558539MaRDI QIDQ803491

Lothar M. Schmitt

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073129

zbMATH Keywords

direct integralsdisintegration of standard formsmatrix-ordered Hilbert spacesstandard forms of \(W^ *\)-algebras

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Decomposition theory for (C^*)-algebras (46L45)

Cites Work

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• The generators of positive semigroups
• Self-dual cones in Hilbert space
• Direct integrals of selfdual cones and standard forms of von Neumann algebras
• On the extension of von Neumann-Aumann's theorem
• Some properties of modular conjugation operator of von Neumann algebras and a non-commutative Radon-Nikodym theorem with a chain rule
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• An extension of some results of Takesaki in the reduction theory of von Neumann algebras
• Characterisation of matrix-ordered standard forms of W*-algebras.
• Characterization of $L^2(\mathscr{M})$ for injective W*-algebras $\mathscr{M}$.
• The standard form of von Neumann algebras.

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