On weights, traces and K-theory
arXiv:2211.03172
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.
v3: Small corrections and a slight improvement of Proposition 4.12. Final version