论文标题
在重量,痕迹和K理论上
On weights, traces and K-theory
论文作者
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.