Crossed products of \(C^*\)-correspondences by amenable group actions

DOI10.1016/j.jmaa.2008.04.058zbMath1153.46040OpenAlexW1981516355MaRDI QIDQ932338

Gai Hao, Chi-Keung Ng

Publication date: 10 July 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.058

zbMATH Keywords

crossed products\(C^{*}\)-correspondencesaugmented Cuntz-Pimsner algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55)

Related Items (16)

C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems ⋮ Reduced crossed products associated with Banach algebra dynamical systems ⋮ Cuntz-Pimsner algebras of group representations ⋮ -ALGEBRAS FROM GROUP REPRESENTATIONS ⋮ Group Actions on Product Systems ⋮ Product systems of \(\mathrm{C}^*\)-correspondences and Takai duality ⋮ Crossed Products of Operator Algebras ⋮ Crossed products of operator systems ⋮ Symmetries of the \(C^\ast \)-algebra of a vector bundle ⋮ Cuntz-Pimsner algebras, crossed products, and \(K\)-theory ⋮ Group actions on topological graphs ⋮ Functoriality of Cuntz-Pimsner correspondence maps ⋮ A new look at crossed product correspondences and associated \(C^\ast\)-algebras ⋮ Tensor algebras of product systems and their \(C^\ast \)-envelopes ⋮ Hyperrigidity of C*-correspondences ⋮ On finitely aligned left cancellative small categories, Zappa-Sz\'ep products and Exel-Pardo algebras

Cites Work

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• Representations of Crossed Products by Coactions and Principal Bundles
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• Applications of Non-Commutative Duality to Crossed Product C^* -Algebras Determined by an Action or Coaction
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• The Toeplitz algebra of a Hilbert bimodule
• Quasi-Multipliers and Embeddings of Hilbert C*-Bimodules
• Bimodules for Cuntz-Krieger algebras of infinite matrices
• Coactions and Crossed Products of Hopf C*-Algebras
• $C^*$-algebras of directed graphs and group actions

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