Compressing Coefficients while Preserving Ideals in the K-theory for C*-algebras

• Authors: Marius Dadarlat and Søren Eilers.
• Date: August 1996.
• Status: Appeared in K-Theory 14 (1998), 281-304.
• Pages: 24.
• Abstract: An invariant based on ordered K-theory with coefficients in Z + Z/2 + Z/3 + Z/4+... and an infinite number of natural transformations has proved to be necessary and sufficient to classify a large class of non-simple 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 subhomogeneous C*-algebras. The invariant is based on ordered K-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.
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• Remarks: The preliminary version of this paper (unpublished) was called "Reducing Torsion Coefficient K-Theory". In the preprint version of this paper, due to a regrettable error, it looks like reference [20] is a paper by Rotman. It is of course by Schochet.
• Copyright: Kluwer.
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