Representation of a Completely Bounded Bimodule Map

DOI10.2307/2160711zbMath0836.46048OpenAlexW4256723854MaRDI QIDQ4844426

Qiyuan Na

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2160711

zbMATH Keywords

von Neumann algebradilation\(C^*\)-subalgebrasWittstock's theoremcompletely bounded bimodule mapfinitely injective operator bimoduleinjective operator bimodule over its unital operator algebrasunital operator subalgebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Dilations, extensions, compressions of linear operators (47A20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Cites Work

• A characterization of operator algebras
• Every completely polynomially bounded operator is similar to a contraction
• Multilinear maps and tensor norms on operator systems
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• Subspaces of \(C^ *\)-algebras
• Completely bounded module maps and the Haagerup tensor product
• Subalgebras of \(C^ *\)-algebras
• A Survey of Completely Bounded Operators
• Injectivity of Operator Spaces
• Injective matricial Hilbert spaces
• Extension of completely bounded A-B bimodule maps
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