Duality and operator algebras. I: Automatic weak\(^{\ast}\) continuity and applications

DOI10.1016/j.jfa.2004.10.013zbMath1083.46032OpenAlexW2162814756MaRDI QIDQ2484255

David P. Blecher, Bojan Magajna

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.10.013

zbMATH Keywords

multipliersoperator modulesoperator algebras\(C^*\)-algebrasMorita equivalencedual operator spacesternary rings of operators\(C^*\)-modules

Mathematics Subject Classification ID

(C^*)-modules (46L08) Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Dual algebras; weakly closed singly generated operator algebras (47L45) Operator spaces (= matricially normed spaces) (47L25) Dual spaces of operator algebras (47L50)

Related Items (14)

Rigged modules. I: Modules over dual operator algebras and the Picard group ⋮ Dual operator algebras with normal virtual \(h\)-diagonal ⋮ Approximately norm-unital products on \(C^{\ast}\)-algebras, and a non-associative Gelfand-Naimark theorem ⋮ On a class of subdiagonal algebras ⋮ Morita equivalence of dual operator algebras ⋮ Real Positive Maps and Conditional Expectations on Operator Algebras ⋮ A Morita type equivalence for dual operator algebras ⋮ The Hopf structure of some dual operator algebras ⋮ Metric characterizations. II ⋮ Bicommutants and ranges of derivations ⋮ A characterization and a generalization of $W^{*}$-modules ⋮ A Morita theorem for dual operator algebras ⋮ Hilbert $C^*$-modules over $\varSigma ^*$-algebras ⋮ Duality and operator algebras. II: Operator algebras as Banach algebras

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