论文标题

在重量,痕迹和K理论上

On weights, traces and K-theory

论文作者

Thomsen, Klaus

论文摘要

结果表明,可以将C* - 代数的K00组与代数的密集定义的痕迹的配对扩展到与密度定义的重量的配对。对于迹线,配对可以扩展到K0组,而无需在Connes和Elliott的工作中出现半持续假设。

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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