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Classification of $\AF$ Flows |
Canad. Math. Bull. 46(2003), 164-177
Published:2003-06-01
Printed: Jun 2003
Printed: Jun 2003
- Andrew J. Dean
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 - Derivations, dissipations and positive semigroups in $C^*$-algebras 46L35 - Classifications of $C^*$-algebras |