Relative Yoneda cohomology for operator spaces

DOI10.1006/jfan.1997.3208zbMath0917.46052OpenAlexW2056052803MaRDI QIDQ1268065

Vern I. Paulsen

Publication date: 19 July 1999

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

Full work available at URL: https://doi.org/10.1006/jfan.1997.3208

zbMATH Keywords

Hochschild cohomologyoperator spaceamenabilityprojectivitybimodulerelative Yoneda cohomologycompletely bounded mappingderived functor realizationrelative injectivitySz.-Nagy-Foias commutant lifting theorem

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (7)

Exact structures for operator modules ⋮ Projective modules in classical and quantum functional analysis ⋮ Modules over operator algebras, and the maximal \(C^*\)-dilation ⋮ Change of base for operator space modules ⋮ On injective von Neumann algebras ⋮ Twisting operator spaces ⋮ Correspondences and Approximation Properties for von Neumann Algebras

Cites Work

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