Turkish Journal of Mathematics
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 $C^*$-algebra. 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.
DOI
10.3906/mat-1905-37
Keywords
$C^*$-algebra, $C^*$-Hopf algebra, inclusion, Picard group, strong Morita equivalence
First Page
2511
Last Page
2539
Recommended Citation
KODAKA, K (2019). The generalized Picard groups for finite dimensional $C^*$-Hopf algebra coactions on unital $C^*$-algebras. Turkish Journal of Mathematics 43 (5): 2511-2539. https://doi.org/10.3906/mat-1905-37
