Abstract
We give a classification theorem for unital separable simple nuclear C*-algebras with tracial topological rank zero which satisfy the universal coefficient theorem. Let A and B be two such C*-algebras. We prove that A≌B if and only if
(K0(A), K0(A)+, [1A], K1(A)) ≌ K0(B), K0(B)+, [1B], K1(B)).
Citation
Huaxin Lin. "Classification of simple C*-algebras of tracial topological rank zero." Duke Math. J. 125 (1) 91 - 119, 1 October 2004. https://doi.org/10.1215/S0012-7094-04-12514-X
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