Journal of the Ramanujan Mathematical Society

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A Classification of Certain Simple C*-algebras, II


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1 Department of Mathematics, University of Toronto, Toronto, Ontario, Canada
     

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The purpose of this paper is to show that simple unital C* algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over C(T) are classified by K-theoretical and tracial data. This unifies earlier results, in the case that the tracial data are redundant, and in the case that the K1-group is zero ([51, [6]). Let us recall these earlier results.
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  • A Classification of Certain Simple C*-algebras, II

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Authors

George A. Elliott
Department of Mathematics, University of Toronto, Toronto, Ontario, Canada

Abstract


The purpose of this paper is to show that simple unital C* algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over C(T) are classified by K-theoretical and tracial data. This unifies earlier results, in the case that the tracial data are redundant, and in the case that the K1-group is zero ([51, [6]). Let us recall these earlier results.