A special case of the range of invariant problem for AF type actions of Z₂

Abstract

Elliott and Su gave a classification of inductive Limit type Z2 actions on AF algebras using a K-theoretic invariant. In this paper, we consider the range of invariant problem, and give a sufficient condition for an object to be one of their invariants for such a system. In addition, we defines some structures that will be useful for further investigation of this problem.