%0 Journal Article
%T On the comparison of positive elements of a C*-algebra by lower semicontinuous traces
%A Leonel Robert
%J Mathematics
%D 2008
%I arXiv
%X It is shown in this paper that two positive elements of a C*-algebra agree on all lower semicontinuous traces if and only if they are equivalent in the sense of Cuntz and Pedersen. A similar result is also obtained in the more general case where the two elements are comparable by their values on the lower semicontinuous traces. This result is used to give a characterization of the functions on the cone of lower semicontinuous traces of a stable C*-algebra that arise from positive elements of the algebra.
%U http://arxiv.org/abs/0806.1570v1