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• W4309587761 abstract "The space of weak expectations for a given representation of a (unital) separable C*-algebra is a compact convex set of (unital) completely positive maps in the BW topology, when it is non-empty. An application of the classical Choquet theory gives a barycentric decomposition of a weak expectation in that set. However, to complete the barycentric picture, one needs to know the extreme points of the compact convex set in question. In this article, we explicitly identify the set of extreme points of the space of weak expectations for a given representation, using operator theoretic techniques." @default.
• W4309587761 created "2022-11-28" @default.
• W4309587761 creator A5038652062 @default.
• W4309587761 creator A5084901433 @default.
• W4309587761 date "2022-11-18" @default.
• W4309587761 modified "2023-09-24" @default.
• W4309587761 title "Barycentric decompositions in the space of weak expectations" @default.
• W4309587761 doi "https://doi.org/10.48550/arxiv.2211.10224" @default.
• W4309587761 hasPublicationYear "2022" @default.
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