Some properties of maximal measures on compact convex sets

DOI10.1017/S0305004100061156zbMath0525.46007OpenAlexW2031322460MaRDI QIDQ3039918

Charles J. K. Batty

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100061156

zbMATH Keywords

state spaceorthogonal measuresChoquet topologymaximal measure on a compact convex setmaximal orthogonal measures on state spaces of C*-algebrassigma-algebra generated by the Baire sets and the compact extremal subsets

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (5)

Distances between convex subsets of state spaces ⋮ Affine images of compact convex sets and maximal measures ⋮ On the Borel enveloping \(C^*\)-algebra of a \(C^*\)-algebra ⋮ On the boundary barycentric calculus ⋮ The abstract Dirichlet problem for continuous vector-valued functions

Cites Work

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• Decomposition of invariant states and nonseparable C*-algebras
• On decomposition theory for unitary representations of locally compact groups
• Abelian faces of state spaces of C*-algebras
• Traces on simple AF C*-algebras
• Tensor products of compact convex stes
• The ideal center of partially ordered vector spaces
• Unique Direct Integral Decompositions on Convex Sets

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