Classification of AF Flows

An AF flow is a one-parameter automorphism group of an AF C^*-algebra A such that there exists an increasing sequence of invariant finite dimensional sub-C^*-algebras whose union is dense in A. In this paper, a classification of C^*-dynamical systems of this form up to equivariant isomorphism is presented. Two pictures of the actions are given, one in terms of a modified Bratteli diagram/path-space construction, and one in terms of a modified K0 functor.