popa's deformation/rigidity theory led to a remarkable cocycle superrigidity theorem for bernoulli actions of groups with property (t) (2005) and of products of non-amenable groups (2006). more precisely, popa obtained that every cocycle for such an action with values in a countable (and more generally, in a $\mathcal u_{fin}$) group is cohomologous with a group homomorphism. in this talk, we will present a generalization of this theorem to coinduced actions.