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Classification of $\AF$ Flows

  Published:2003-06-01
 Printed: Jun 2003
  • Andrew J. Dean
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Abstract

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, 46L35 show english descriptions Derivations, dissipations and positive semigroups in $C^*$-algebras
Classifications of $C^*$-algebras
46L57 - Derivations, dissipations and positive semigroups in $C^*$-algebras
46L35 - Classifications of $C^*$-algebras
 

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