The Picard groups of inclusions of -algebras induced by equivalence bimodules

DOI10.4153/S0008439521000497zbMath1504.46066arXiv1911.07477OpenAlexW3180433046MaRDI QIDQ5099402

Kazunori Kodaka

Publication date: 31 August 2022

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07477

zbMATH Keywords

crossed productsstrong Morita equivalencePicard groupsequivalence bimodulesinclusions of \(C^*\)-algebras

Mathematics Subject Classification ID

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

Cites Work

• Stable isomorphism and strong Morita equivalence of \(C^*\)-algebras
• On discrete twisted C*-dynamical systems, Hilbert C*-modules and regularity
• Morita equivalence for crossed products by Hilbert $C^\ast $-bimodules
• Quasi-Multipliers and Embeddings of Hilbert C*-Bimodules
• THE STRONG MORITA EQUIVALENCE FOR INCLUSIONS OF -ALGEBRAS AND CONDITIONAL EXPECTATIONS FOR EQUIVALENCE BIMODULES
• The Picard groups for unital inclusions of unital C*-algebras
• Strong Morita equivalence for inclusions of $C^*$-algebras induced by twisted actions of a countable discrete group
• Coactions of a finite-dimensional $C^*$-Hopf algebra on unital $C^*$-algebras, unital inclusions of unital $C^*$-algebras and strong Morita equivalence
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