Quasitraces are Traces: A Short Proof of the Finite-Nuclear-Dimension Case
arXiv:1005.2229
Abstract
Uffe Haagerup proved that quasitraces on unital exact C* -algebras are traces. We give a short proof under the stronger hypothesis of finite nuclear dimension.
5 pages. Following a question of George Elliott, the main theorem has been generalized to "extended" quasitraces (i.e., possibly infinity-valued quasitraces). Final version, to appear in C.R. Math. Acad. Sci. Soc. R. Canada