Operator space embedding of Schatten p-classes into von Neumann algebra preduals

Let X(1) and X(2) be subspaces of quotients of R circle plus OH and C circle plus OH respectively. We use new free probability techniques to construct a completely isomorphic embedding of the Haagerup tensor product X(1) circle times(h) X(2) into the predual of a sufficiently large QWEP von Neumann algebra. As an immediate application, given any 1 < q <= 2, our result produces a completely isomorphic embedding of l(q) (equipped with its natural operator space structure) into L(1)(A) with A a QWEP von Neumann algebra.