On the comparison of positive elements of a C*-algebra by lower semicontinuous traces

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dc.creatorRobert, Leonel
dc.date2008-06-10
dc.date.accessioned2026-07-07T09:43:34Z
dc.date.available2026-07-07T09:43:34Z
dc.descriptionIt 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.
dc.description5 pages; submitted for publication
dc.identifierhttps://arxiv.org/abs/0806.1570
dc.identifierhttp://arxiv.org/abs/0806.1570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162606
dc.subjectOperator Algebras
dc.subject46L05, 46L35
dc.titleOn the comparison of positive elements of a C*-algebra by lower semicontinuous traces
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