Universal approach to the Takesaki-Takai \(\gamma \)-duality

DOI10.11948/20230242MaRDI QIDQ6616894

M. I. Yaremenko

Publication date: 9 October 2024

Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-algebraWigner functioncross productinduced representationPontryagin dualityTakai duality\( \gamma \)-duality

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65)

Cites Work

• Product systems over Ore monoids
• Bulk-boundary correspondence for disordered free-fermion topological phases
• The Fermi gerbe of Weyl semimetals
• C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems
• The nonperturbative functional renormalization group and its applications
• Equivariant property (SI) revisited
• A new look at crossed product correspondences and associated \(C^\ast\)-algebras
• Product systems of C*-correspondences and Baaj-Skandalis duality
• C*-algebras associated to topological Ore semigroups
• Takai Duality for Crossed Products by Hilbert C*-bimodules
• Group actions on graphs and $C^*$-correspondences
• Non-selfadjoint operator algebras: dynamics, classification and C*-envelopes
• C* Envelopes and the Hao-Ng Isomorphism for Discrete Groups
• Group actions on topological graphs
• Amenable and inner amenable actions and approximation properties for crossed products by locally compact groups
• Coactions on Cuntz-Pimsner Algebras

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