Non-stationarity of isomorphism between AF algebras defined by stationary Bratteli diagrams

We first study situations where the stable AF algebras defined by two squar e primitive non-singular incidence matrices with non-negative integer matri x elements are isomorphic, even though no powers of the associated automorp hisms of the corresponding dimension groups are isomorphic. More generally we consider necessary and sufficient conditions for two such matrices to de termine isomorphic dimension groups. We give several examples.