  We give a necessary condition for Morita equivalence of simple Generalized
Weyl algebras of classical type. We propose a reformulation of Hodges' result,
which describes Morita equivalences in case the polynomial defining the
Generalized Weyl algebra has degree 2, in terms of isomorphisms of quantum
tori, inspired by similar considerations in noncommutative differential
geometry. We study how far this link can be generalized for $n\ge 3$.
