Properties preserved under Morita equivalence of 𝐂*-algebras

DOI10.1090/S0002-9939-06-08625-4zbMath1118.46050arXivmath/0512159OpenAlexW1757982276MaRDI QIDQ3425998

Iain Raeburn, Dana P. Williams, Astrid an Huef

Publication date: 7 March 2007

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

Full work available at URL: https://arxiv.org/abs/math/0512159

Mathematics Subject Classification ID

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

Related Items (14)

Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras ⋮ Topological freeness for \(C^{\ast}\)-correspondences ⋮ Deformation of algebras associated with group cocycles ⋮ A Dixmier-Douady theorem for Fell algebras ⋮ Groupoid Fell bundles for product systems over quasi-lattice ordered groups ⋮ All classifiable Kirchberg algebras are \(C^\ast\)-algebras of ample groupoids ⋮ The weak tracial Rokhlin property for finite group actions on simple $C^*$-algebras ⋮ HILBERT C*-BIMODULES OF FINITE INDEX AND APPROXIMATION PROPERTIES OF C*-ALGEBRAS ⋮ On the isomorphism problem for C∗-algebras of nilpotent Lie groups ⋮ \(C^\ast\)-algebras from groupoids on self-similar groups ⋮ Elementary operators on Hilbert modules over prime \(C^\ast\)-algebras ⋮ Chain conditions for \(C^\ast\)-algebras coming from Hilbert \(C^\ast\)-modules ⋮ Morita equivalence and Cauchy extensions of Hilbert C*-modules ⋮ Irreducible induced representations of Fell bundle 𝐶*-algebras

Cites Work

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• On Morita equivalence of nuclear C*-algebras
• Strong Morita equivalence of C*-algebras preserves nuclearity
• Ideals in Hilbert modules and invariants under strong Morita equivalence of C*-algebras
• Upper multiplicity and bounded trace ideals in \(C^*\)-algebras
• Transition probabilities and trace functions for $C^*$-algebras.
• Upper and Lower Multiplicity for Irreducible Representations of C^* -Algebras
• Topologie et traces sur les $C^*$-algèbres

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