Noncommutative Choquet theory: A Survey

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Kenneth R. Davidson , Matthew Kennedy This is my paper · ORCID

classification math.OAmath.FA

keywords choquetnoncommutativesurveytheoryapplicationssome

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We survey noncommutative Choquet theory and some of its applications.

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Local presentability and monadicity of forgetful functors for operator algebraic categories
math.CT 2025-07 conditional novelty 7.0 of 10

The categories of operator spaces, operator systems, Archimedean order unit spaces, and unital operator algebras are locally countably presentable, and unital operator algebras form the Eilenberg-Moore category of the...