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math.OA2008
On the comparison of positive elements of a C*-algebra by lower semicontinuous traces
Leonel Robert
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.…
math.OA2008★ 3 cited
The cone of lower semicontinuous traces on a C*-algebra
George A. Elliott, Leonel Robert, Luis Santiago
The cone of lower semicontinuous traces is studied with a view to its use as an invariant. Its properties include compactness, Hausdorffness, and continuity with respect to inducti…