], $({{\rm{id}}}_{D_0}\otimes\lambda^0 )\circ\widehat{\widehat{\sigma}}$ is strongly Morita equivalent to $$(({{\rm{id}}}_A \otimes\lambda^0 )\circ\sigma \, , \,  ({{\rm{id}}}_A \otimes\lambda^0 \otimes \lambda^0 )(v)) .$$ 