  In this paper we use the concept of wavelet sets as introduced by X. Dai and
D. Larson, to decompose the wavelet representation of the discrete group
associated to an arbitrary $n \times n$ integer dilation matrix as a direct
integral of irreducible monomial representations. In so doing we generalize a
result of F. Martin and A. Valette in which they show that the wavelet
representation is weakly equivalent to the regular representation for the
Baumslag-Solitar groups.
