Adrian Ioana University of California, San Diego (UCSD) Consider a compact group G together with two countable dense subgroups Γ and Λ. I will discuss a result which asserts that, under certain mild assumptions, any cocycle for the left-right translation action of Γ×Λ of G with values in a countable group is (virtually) cohomologous to a homomorphism. This is joint work with D. Gaboriau and R. Tucker-Drob.