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

DOI10.4064/SM190424-5-1zbMath1466.46045arXiv1706.09530OpenAlexW3035689238MaRDI QIDQ5139055

Kazunori Kodaka, Tamotsu Teruya

Publication date: 4 December 2020

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09530

zbMATH Keywords

strong Morita equivalenceequivalence bimodulesinclusions of \(C^\ast \)-algebras\(C^* \)-algebras\(C^* \)-Hopf algebras

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of (C^*)-algebras (46L05)

Related Items (2)

The Picard groups of inclusions of -algebras induced by equivalence bimodules ⋮ Equivalence bundles over a finite group and strong Morita equivalence for unital inclusions of unital $C^*$-algebras

Cites Work

• Unnamed Item
• C*-algebras associated with irrational rotations
• \(C^*\)-algèbres de Hopf et théorie de Kasparov équivariante. (Hopf \(C^*\)-algebras and equivariant Kasparov theory)
• Subalgebras of infinite \(C^*\)-algebras with finite Watatani indices. II: Cuntz-Krieger algebras
• Equivariant Picard groups of \(C^\ast\)-algebras with finite dimensional \(C^\ast\)-Hopf algebra coactions
• Takesaki--Takai duality theorem in Hilbert \(C^*\)-modules
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• The strong Morita equivalence for coactions of a finite-dimensional C^*-Hopf algebra on unital C^*-algebras
• The Rohlin property for coactions of finite dimensional $C^*$-Hopf algebras on unital $C^*$-algebras
• Index for 𝐶*-subalgebras
• Inclusions of unital $C^*$-algebras of index-finite type with depth 2 induced by saturated actions of finite dimensional $C^*$-Hopf algebras
• Crossed Products and Inner Actions of Hopf Algebras
• Finite Index Subfactors and Hopf Algebra Crossed Products
• Jones index theory by Hilbert C*-bimodules and K-theory
• Inclusions of simple C* -algebras
• THE STRONG MORITA EQUIVALENCE FOR INCLUSIONS OF -ALGEBRAS AND CONDITIONAL EXPECTATIONS FOR EQUIVALENCE BIMODULES
• Saturated Actions of Finite Dimensional Hopf *-Algebras on $C^*$-Algebras.

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