Characterization of $L^2(\mathscr{M})$ for injective W*-algebras $\mathscr{M}$.

DOI10.7146/math.scand.a-12117zbMath0579.46045OpenAlexW2303585106WikidataQ114012204 ScholiaQ114012204MaRDI QIDQ3701977

Lothar M. Schmitt

Publication date: 1985

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/166954

zbMATH Keywords

injectivitycompletely positive\(W^*\)-algebrasextension propertypropertynon-commutative integrationmatrix ordered standard formsmatricial Riesz interpolation

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (4)

Completely positive projections on a Hilbert space ⋮ An intrinsic order-theoretic characterization of the weak expectation property ⋮ Order derivations on \(L^ p\)-spaces of \(W^ *\)-algebras ⋮ Direct integrals of standard forms of \(W^*\)-algebras

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