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# 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 $K_0$ functor.
 MSC Classifications: 46L57 - Derivations, dissipations and positive semigroups in $C^*$-algebras 46L35 - Classifications of $C^*$-algebras