Trace scaling automorphisms of certain stable AF algebras II

Two automorphisms of a simple stable AF-algebra with a finite dimensional l attice of lower semicontinuous traces are shown to be outer conjugate if th ey act in the same way on K-0 and the extremal traces are scaled by numbers which are not equal to 1 and satisfy a certain condition (which holds if t he scaling factors are all less than 1). The proof goes via the Rohlin prop erty. As an application we consider the problem of classifying conjugacy or cocycle conjugacy classes of certain actions of T on a separable simple pu rely infinite C*-algebra.