Takesaki--Takai duality theorem in Hilbert \(C^*\)-modules

DOI10.1007/s10114-004-0405-4zbMath1099.46039OpenAlexW2468868441MaRDI QIDQ2577672

Xiaoxia Zhang, Maozheng Guo

Publication date: 5 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0405-4

zbMATH Keywords

crossed productHilbert \(C^*\)-modulecoactionHopf \(C^*\)-algebraTakesaki-Takai duality theoremKac systemmultiplicative unitary operator

Mathematics Subject Classification ID

(C^*)-modules (46L08) Abstract operator algebras on Hilbert spaces (47L30)

Related Items (2)

The strong Morita equivalence for coactions of a finite-dimensional C^*-Hopf algebra on unital C^*-algebras ⋮ Coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras, unital inclusions of unital $C^*$-algebras and strong Morita equivalence

Cites Work

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• Duality for crossed products and the structure of von Neumann algebras of type III
• Compact matrix pseudogroups
• On a duality for crossed products of C\(^*\)-algebras
• Morita equivalence of twisted crossed products by coactions
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• \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory)
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Representations of Crossed Products by Coactions and Principal Bundles
• C^* -Algèbres de Hopf et C^* -Algèbres de Kac

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