A Morita theorem for algebras of operators on Hilbert space

DOI10.1016/S0022-4049(99)00157-7zbMath0984.47049arXivmath/9906080MaRDI QIDQ5928852

David P. Blecher

Publication date: 21 April 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9906080

zbMATH Keywords

completely contractive functorsHaagerup tensor productoperator modulesstrong Morita equivalence

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (C^*)-modules (46L08) Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Tensor products of (C^*)-algebras (46L06) Categories, functors in functional analysis (46M15)

Related Items (8)

A Morita characterisation for algebras and spaces of operators on Hilbert spaces ⋮ Morita equivalence of \(C^*\)-correspondences passes to the related operator algebras ⋮ Modules over operator algebras, and the maximal \(C^*\)-dilation ⋮ Crossed Products of Operator Algebras ⋮ Morita equivalence of dual operator algebras ⋮ A Morita type equivalence for dual operator algebras ⋮ Descent of Hilbert \(C^*\)-modules ⋮ A Morita theorem for dual operator algebras

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