Abstract
It is proved that the Z 2 -graded ordered K-theory group with order unit ( K ∗ ( A ) , K ∗ ( A ) + , [ 1 A ] ) 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.
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