Countably generated Hilbert modules, the Kasparov Stabilisation Theorem, and frames in Hilbert modules

DOI10.1090/S0002-9939-02-06787-4zbMath1015.46034OpenAlexW1568106101MaRDI QIDQ4791501

Iain Raeburn, Shaun J. Thompson

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06787-4

zbMATH Keywords

reconstruction formulaframemultiplier modulecountably generated moduleframe formulaKasparov's theorem

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (25)

Non-commutative vector bundles for non-unital algebras ⋮ The Haagerup property for twisted groupoid dynamical systems ⋮ Schatten classes for Hilbert modules over commutative \(C^\ast \)-algebras ⋮ Some Properties of $ ast $-frames in Hilbert Modules Over Pro-C*-algebras ⋮ Invertibility of multipliers in Hilbert C*-modules ⋮ Dilation of dual frame pairs in Hilbert \(C^*\)-modules ⋮ Riesz bases and their dual modular frames in Hilbert \(C^*\)-modules ⋮ Frames and outer frames for Hilbert -modules ⋮ K-G-Frames and G-Atomic Systems in Hilbert Pro-C*-Modules ⋮ Covariant representations of Hilbert \(C^*\)-modules ⋮ The correspondence of Fusion frames and frames In Hilbert $C^*$-modules and finite Gabor Fusion frames ⋮ Stationary stochastic processes in a group system ⋮ Unnamed Item ⋮ On frames in Hilbert modules over pro-\(C^*\)-algebras ⋮ Pair frames in Hilbert \(C^*\)-modules ⋮ Unnamed Item ⋮ Graded Hilbert C*-modules ⋮ Frames of multipliers in tensor products of Hilbert modules over pro-\(C^{*}\)-algebras ⋮ Large Fredholm triples ⋮ Hyperrigidity of C*-correspondences ⋮ Stable outer conjugacy and strong Morita equivalence of group actions on pro-\(C^{*}\)-algebras ⋮ On frames for countably generated Hilbert 𝐶*-modules ⋮ Unnamed Item ⋮ On approximately dual frames for Hilbert C*-modules ⋮ Crossed products of pro-\(C^{*}\)-algebras and Hilbert pro-\(C^{*}\)-modules

Cites Work

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• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory)
• Equivariant Triviality Theorems for Hilbert C ∗ -Modules
• Multipliers of Imprimitivity Bimodules and Morita Equivalence of Crossed Products.

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