Md-multipliers of a locally compact group

We show that the space Md(G) of Md-multipliers of a locally compact group G is isometrically isomorphic to the Banach space of bounded functionals on the d-fold Haagerup tensor product of L¹(G) vanishing on the kernel of the convolution map. Consequently, we see that Md(G) is isometrically isomorphic to the dual space of Xd(G), the completion of L¹(G) in the dual of Md(G). We also show that Md-type-approximation-properties are inherited to lattices.