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- W4309587752 abstract "A classical result by Effros connects the barycentric decomposition of a state on a C*-algebra to the disintegration of the GNS representation of the state with respect to an orthogonal measure on the state space of the C*-algebra. In this note, we take this approach to the space of unital completely positive maps on a C*-algebra with values in B(H), connecting the barycentric decomposition of the unital completely positive map and the dis-integration of the minimal Stinespring dilation of the same. This generalizes Effros' work in the non-commutative setting. We do this by introducing a special class of barycentric measures which we call generalized orthogonal measures. We end this note by mentioning some applications and examples of generalized orthogonal measures." @default.
- W4309587752 created "2022-11-28" @default.
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- W4309587752 date "2022-11-18" @default.
- W4309587752 modified "2023-09-29" @default.
- W4309587752 title "Generalized Orthogonal Measures on the Space of Unital Completely Positive Maps" @default.
- W4309587752 doi "https://doi.org/10.48550/arxiv.2211.10225" @default.
- W4309587752 hasPublicationYear "2022" @default.
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