A Morita characterisation for algebras and spaces of operators on Hilbert spaces

DOI10.1007/S00020-020-02611-7OpenAlexW3106925319MaRDI QIDQ830667

E. Papapetros, George K. Eleftherakis

Publication date: 7 May 2021

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11055

zbMATH Keywords

operator algebras\(C^*\)-algebrasMorita equivalencestable isomorphismTRO

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Operator spaces (= matricially normed spaces) (47L25) Categories, functors in functional analysis (46M15)

Related Items (1)

Hilbert modules, rigged modules, and stable isomorphism

Cites Work

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• Strong Morita equivalence of operator spaces
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Stable isomorphism of hereditary subalgebras of \(C^*\)-algebras
• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• On stable maps of operator algebras
• Induced representations of C\(^*\)-algebras
• Stable isomorphism and strong Morita equivalence of operator algebras
• On Morita's fundamental theorem for $C^*$-algebras
• Categories of operator modules (Morita equivalence and projective modules)
• A Morita theorem for algebras of operators on Hilbert space
• The Shilov boundary of an operator space and the characterization theorems

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