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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.OA2007★ 4 cited
Cuntz semigroups of ideals and quotients and a generalized Kasparov Stabilization Theorem
Alin Ciuperca, Leonel Robert, Luis Santiago
Let A be a C*-algebra and I a closed two-sided ideal of A. We use the Hilbert C*-modules picture of the Cuntz semigroup to investigate the relations between the Cuntz semigroups of…