A characterization and a generalization of $W^{*}$-modules

DOI10.1090/S0002-9947-2010-05153-0zbMath1217.46038arXiv0712.1236MaRDI QIDQ3082359

Upasana Kashyap, David P. Blecher

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1236

zbMATH Keywords

\(\sigma\)-weak topologyW*-modulew*-rigged module

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (C^*)-modules (46L08) Abstract operator algebras on Hilbert spaces (47L30) Dual algebras; weakly closed singly generated operator algebras (47L45) Operator spaces (= matricially normed spaces) (47L25)

Related Items (3)

Rigged modules. I: Modules over dual operator algebras and the Picard group ⋮ Applications of operator space theory to nest algebra bimodules ⋮ Morita equivalence of \(\mathrm{w}^\ast\)-rigged modules

Cites Work

• Morita equivalence of dual operator algebras
• A Morita theorem for dual operator algebras
• A characterization of ternary rings of operators
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• A new approach to Hilbert \(C^*\)-modules
• On injectivity and nuclearity for operator spaces
• A generalization of Hilbert modules
• A Morita type equivalence for dual operator algebras
• Stably isomorphic dual operator algebras
• Duality and operator algebras. I: Automatic weak\(^{\ast}\) continuity and applications
• On a generalization of W^*-modules
• Strong Operator Modules and the Haagerup Tensor Product
• Isomorphisms of function modules, and generalized approximation in modulus
• Categories of operator modules (Morita equivalence and projective modules)
• Inner Product Modules Over B ∗ -Algebras
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