Weak containment of correspondences and approximate factorization of completely positive maps

DOI10.1016/0022-1236(90)90005-6zbMath0715.46027OpenAlexW1964342067MaRDI QIDQ752420

James A. Mingo

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90005-6

zbMATH Keywords

approximate factorization\(\sigma \) -finite von-Neumann algebracompletely positive normal mapinner mapsweak containment of correspondences

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items (2)

Unnamed Item ⋮ On approximate factorizations of completely positive maps

Cites Work

• The correspondence associated to an inner completely positive map
• Sommes de commutateurs dans les algèbres de von Neumann finies continues
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Primitive ideals in enveloping algebras
• Tensor products of operator algebras
• Property T for von Neumann Algebras
• The standard form of von Neumann algebras.
• Shorter Notes: The Operator Equation THT = K
• Theory of operator algebras I.

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