Compressing Coefficients While Preserving Ideals in <Emphasis Type="Italic">K</Emphasis>-Theory for C*-Algebras
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چکیده
An invariant based on ordered K-theory with coefficients in Z ⊕⊕n>1 Z/n and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of nonsimple C∗-algebras. In this paper, we expose and explain the relations between the order structure and the ideals of the C∗-algebras in question. As an application, we give a new complete invariant for a large class of approximately subhomogeneousC∗-algebras. The invariant is based on orderedK-theory with coefficients in Z⊕Q⊕Q/Z. This invariant is more compact (hence, easier to compute) than the invariant mentioned above, and its use requires computation of only four natural transformations. Mathematics Subject Classifications (1991): 46L35, 46L80, 19K14.
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تاریخ انتشار 1998