摘要

Let A = lim(n ->infinity) (A(n), phi(n,m)) be an inductive limit C*-algebra A(n) = circle plus(kn)(i=1) A(n)(i) with the A(n)(i) splitting interval algebras. Suppose that A has the ideal property: each closed two-sided ideal is generated (as an ideal) by projections in the ideal. In this article, we will show that the scaled ordered K-0 group and the ordered vector spaces AffT(eAe) with e a projection together with the natural maps between them are complete invariants for the classification of this class of C*-algebras.