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 classification, $C^*$-dynamical system

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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