Trace scaling automorphisms of certain stable AF algebras II

Two automorphisms of a simple stable AF-algebra with a finite dimensional lattice of lower semicontinuous traces are shown to be outer conjugate if they act in the same way on K0 and the extremal traces are scaled by numbers which are not equal to 1 and satisfy a certain condition (which holds if the scaling factors are all less than 1). The proof goes via the Rohlin property. As an application we consider the problem of classifying conjugacy or cocycle conjugacy classes of certain actions of T on a separable simple purely infinite C*-algebra.