  Following Jansen and Waldmann, and Kajiwara and Watatani, we shall introduce
notions of coactions of a finite dimensional $C^*$-Hopf algebra on a Hilbert
$C^*$-bimodule of finite type in the sense of Kajiwara and Watatani and define
their crossed product. We shall investigate their basic properties and show
that the strong Morita equivalence for coactions preserves the Rohlin property
for coactions of a finite dimensional $C^*$-Hopf algebra on unital
$C^*$-algebras.
