A generalization of Hilbert modules
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Publication:1911512
DOI10.1006/jfan.1996.0034zbMath0951.46033OpenAlexW2085133053MaRDI QIDQ1911512
Publication date: 28 April 1996
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1996.0034
direct sumstensor productsindexMorita equivalenceHilbert moduleHilbert \(C^*\)-modulenonselfadjoint operator algebrasinner product modulechange of ringsHermitian modulerigged module
(C^*)-modules (46L08) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Representations of (nonselfadjoint) operator algebras (47L55)
Related Items (23)
On function and operator modules ⋮ Rigged modules. I: Modules over dual operator algebras and the Picard group ⋮ Gauge theory for spectral triples and the unbounded Kasparov product ⋮ Isomorphisms of function modules, and generalized approximation in modulus ⋮ Nonunital spectral triples and metric completeness in unbounded \(KK\)-theory ⋮ ON HAHN–BANACH TYPE THEOREMS FOR HILBERT C*-MODULES ⋮ Strong Morita equivalence of operator spaces ⋮ One-sided ideals and approximate identities in operator algebras ⋮ A completely bounded characterization of operator algebras ⋮ A multiplier approach to the Lance-Blecher theorem ⋮ Hilbert modules, rigged modules, and stable isomorphism ⋮ A Serre-Swan theorem for bundles of bounded geometry ⋮ Spectral flow and the unbounded Kasparov product ⋮ Modules over operator algebras, and the maximal \(C^*\)-dilation ⋮ Morita equivalence of dual operator algebras ⋮ A Morita theorem for algebras of operators on Hilbert space ⋮ Duality and operator algebras. I: Automatic weak\(^{\ast}\) continuity and applications ⋮ The Shilov boundary of an operator space and the characterization theorems ⋮ A characterization and a generalization of $W^{*}$-modules ⋮ Relative Yoneda cohomology for operator spaces ⋮ Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms ⋮ \(p\)-nuclearity in a new perspective
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