On approximate factorizations of completely positive maps

DOI10.1016/0022-1236(90)90090-8zbMath0731.46031OpenAlexW2023114135MaRDI QIDQ807944

J. F. Havet, Claire Anantharaman-Delaroche

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)90090-8

zbMATH Keywords

injective factorweak containment of correspondencesapproximate factorization of completely positive mapscoarse correspondencescorrespondence from a von Neumann algebra to another von Neumann algebrainner completely positive maps

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (8)

Remarks on the extension group for purely infinite corona algebras ⋮ The correspondence associated to an inner completely positive map ⋮ Amenability and uniqueness ⋮ Cartan subalgebras of tensor products of free quantum group factors with arbitrary factors ⋮ Relative nuclearity for \({C}^\ast\)-algebras and \(KK\)-equivalences of amalgamated free products ⋮ The fidelity of density operators in an operator-algebraic framework ⋮ Correspondences and Approximation Properties for von Neumann Algebras ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms

Cites Work

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• Weak containment of correspondences and approximate factorization of completely positive maps
• The correspondence associated to an inner completely positive map
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Injectivity and operator spaces
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• Tensor products of operator algebras
• Separable nuclear \(C^*\)-algebras and injectivity
• Induced representations of C\(^*\)-algebras
• Property T for von Neumann Algebras
• The standard form of von Neumann algebras.
• Injective W*-algebras
• Weak Containment and Induced Representations of Groups
• Inner Product Modules Over B ∗ -Algebras
• Theory of operator algebras I.

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