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# On Inductive Limit Type Actions of the Euclidean Motion Group on Stable UHF Algebras

Published:2006-06-01
Printed: Jun 2006
• Andrew J. Dean
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## Abstract

An invariant is presented which classifies, up to equivariant isomorphism, $C^*$-dynamical systems arising as limits from inductive systems of elementary $C^*$-algebras on which the Euclidean motion group acts by way of unitary representations that decompose into finite direct sums of irreducibles.
 Keywords: classification, $C^*$-dynamical system
 MSC Classifications: 46L57 - Derivations, dissipations and positive semigroups in $C^*$-algebras 46L35 - Classifications of $C^*$-algebras

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