Coactions of a finite dimensional $C^{\ast }$-Hopf algebra on unital $C^{\ast }$-algebras, unital inclusions of unital $C^{\ast }$-algebras and the strong Morita equivalence

Kazunori Kodaka, Tamotsu Teruya

Let $A$ and $B$ be unital $C^{\ast }$-algebras and let $H$ be a finite dimensional $C^{\ast }$-Hopf algebra. Let $H^0$ be its dual $C^{\ast }$-Hopf algebra. Let $(\rho ,u)$ and $(\sigma ,v)$ be twisted coac…