Group Actions on Product Systems

DOI10.53733/311arXiv2212.11441OpenAlexW4387735660MaRDI QIDQ6060857

Valentin Deaconu, Leonard T. Huang

Publication date: 6 November 2023

Published in: New Zealand Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11441

zbMATH Keywords

Cuntz-Pimsner algebragroup actionproduct system\(C^\ast\)-correspondence

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

Cites Work

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• Product systems over Ore monoids
• Cuntz-Pimsner algebras, crossed products, and \(K\)-theory
• Discrete product systems of Hilbert bimodules.
• On \(C^*\)-algebras associated with \(C^*\)-correspondences
• Crossed products of \(C^*\)-correspondences by amenable group actions
• Product systems of \(\mathrm{C}^*\)-correspondences and Takai duality
• Some multidimensional Cuntz algebras
• C*-algebras associated to product systems of Hilbert bimodules
• Co-universal algebras associated to product systems, and gauge-invariant uniqueness theorems
• Graphs of $C^*$-correspondences and Fell bundles
• Crossed products of k-graph C*-algebras by Z^l
• Actions of $\mathbb{Z}^k$ associated to higher rank graphs
• Unitary Operators on Hilbert C^* -Modules
• -ALGEBRAS FROM GROUP REPRESENTATIONS

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