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

Abstract

Abstract. In 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.