The classification of certain non-simple C∗-algebras of tracial rank zero

It is proved that the Z2-graded ordered K-theory group with order unit (K∗(A),K∗(A)+, [1A]) is a complete invariant for the class of unital C∗-algebras which are inductive limits of finite direct sums of unital amenable separable simple C∗-algebras with tracial rank zero which satisfy the UCT. © 2009 Elsevier Inc. All rights reserved