Module Mappings Into Von Neumann Algebras and Injectivity

DOI10.1112/plms/s3-71.3.618zbMath0958.46030OpenAlexW2067481629WikidataQ122144597 ScholiaQ122144597MaRDI QIDQ4862826

Allan M. Sinclair, Erik Christensen

Publication date: 19 March 2001

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

Full work available at URL: https://doi.org/10.1112/plms/s3-71.3.618

zbMATH Keywords

injectivityHaagerup tensor productoperator spacescompletely bounded cohomologycompletely bounded projectionderivations on von Neumann algebrasoperator Hilbert spacescharacterization of injective factorscompletely bounded \(N\)-bimodule operatorscompletely complemented von Neumann subalgebrasstructure theory of completely bounded operators

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) General theory of von Neumann algebras (46L10) Operator spaces and completely bounded maps (46L07) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20)

Related Items (11)

Bimodules in crossed products of von Neumann algebras ⋮ Von Neumann algebras as complemented subspaces of $B({\mathscr{H}})$ ⋮ On some problems studied by R. V. Kadison ⋮ Crossed-products extensions, of \(L_p\)-bounds for amenable actions ⋮ Operator biprojectivity of compact quantum groups ⋮ A Galois Correspondence for Reduced Crossed Products of Simple -algebras by Discrete Groups ⋮ Finite von Neumann algebra factors with property \(\Gamma\) ⋮ On injective von Neumann algebras ⋮ Relative Yoneda cohomology for operator spaces ⋮ Factorization of completely bounded bilinear operators and injectivity ⋮ Norming \(C^*\)-algebras by \(C^*\)-subalgebras

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