The generalized Picard groups for finite dimensional $C^*$-Hopf algebra coactions on unital $C^*$-algebras

Kazunori Kodaka

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arXiv · 1805.08358

The generalized Picard groups for finite dimensional $C^$-Hopf algebra coactions on unital $C^$-algebras

Kazunori Kodaka

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Abstract

We shall generalize the notion of the strong Morita equivalence for coactions of a finite dimensional $C^*$-Hopf algebra on a unital $C^*$-algebra and define the Picard groups with respect to the generalized strong Morita equivalence. We call them the generalized Picard groups for coactions of a finite dimensional $C^*$-Hopf algebra on a unital $C^*$-algeba. We shall investigate basic properties of the generalized Picard groups and clarify the relation between the generalized Picard groups and the Picard groups for unital inclusions of unital $C^*$-algebras.

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BibTeX RIS

Kazunori Kodaka. 2018-05-22. The generalized Picard groups for finite dimensional $C^*$-Hopf algebra coactions on unital $C^*$-algebras. https://arxiv.org/abs/1805.08358

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