Dilations for Representations of Triangular Algebras

DOI10.1112/BLMS/21.5.489zbMATH Open0721.46034OpenAlexW2090727737MaRDI QIDQ5753043

Paul S. Muhly, Baruch Solel

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1112/blms/21.5.489

zbMATH Keywords

dilationnormalizerCartan subalgebraminimal dilationhyperfinite von Neumann algebra*-representationcompletely contractivefaithful normal expectationcontractive representation\(\sigma \) -Dirichlet subalgebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Abstract operator algebras on Hilbert spaces (47L30) Dilations, extensions, compressions of linear operators (47A20) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

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Contractions and the Commutant Lifting Theorem in Kreĭn Spaces ⋮ Local derivation on triangular subalgebras of hyperfinite von Neumann algebras

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