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arXiv · 2211.03172

On weights, traces and K-theory

Klaus Thomsen
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Abstract

It is shown that the pairing of the K00 group of a C*-algebra with the densely defined traces of the algebra can be extended to a pairing with the densely defined weights. For traces the pairing can be extended to the K0 group without the semi-continuity assumption occurring in the work of Connes and Elliott.

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Klaus Thomsen. 2022-11-06. On weights, traces and K-theory. https://arxiv.org/abs/2211.03172

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