Classification of Inductive Limits of Outer Actions of ℝ on Approximate Circle Algebras

Abstract

AbstractIn this paper we present a classification, up to equivariant isomorphism, of C*-dynamical systems (A, ℝ, α) arising as inductive limits of directed systems ﹛(An, ℝ, αn), φnm﹜, where each An is a finite direct sum of matrix algebras over the continuous functions on the unit circle, and the αns are outer actions generated by rotation of the spectrum.