An old theorem of Choda characterizes the von Neumann algebras that are intermediate to a factor M and its crossed product by a discrete group G of outer automorphisms: these are precisely crossed products of M by subgroups H of G. This sets up a pleasing Galois type correspondence with subgroups. One can ask whether there is a theory for non-self-adjoint subalgebras, and more generally M-bimodules in the spirit of Muhly-Saito-Solel who looked at the case of factors with Cartan subalgebras. The answer is a qualified yes since one has to change the topology slightly to develop a satisfactory theory (the Bures topology). However, if the group G is weakly amenable, a class that includes all amenable groups, then weak*-closed bimodules correspond to subsets of the group in complete analogy to Choda's theorem. This is joint work in progress with Jan Cameron.