Duality between GL(n,R), GL(n,Qp), and the degenerate affine Hecke algebra for gl(n)

We define an exact functor $F_{n,k}$ from the category of Harish-Chandra modules for ${\rm GL}(n,\Bbb{R})$ to the category of finite-dimensional representations for the degenerate affine Hecke algebra for $\frak{g}\frak{l}(k)$. Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).