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

摘要

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 {(A_n, R, α_n), ρ_(nm)}, where each An is a finite direct sum of matrix algebras over the continuous functions on the unit circle, and the α_ns are outer actions generated by rotation of the spectrum.