  We introduce the notion of spectral transfer morphisms between normalized
affine Hecke algebras, and show that such morphisms induce spectral measure
preserving correspondences on the level of the tempered spectra of the affine
Hecke algebras involved. We define a partial ordering on the set of isomorphism
classes of normalized affine Hecke algebras, which plays an important role for
the Langlands parameters of Lusztig's unipotent representations.
