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math.OA2019
Noncommutative Choquet simplices
Matthew Kennedy, Eli Shamovich
We introduce a notion of noncommutative Choquet simplex, or briefly an nc simplex, that generalizes the classical notion of a simplex. While every simplex is an nc simplex, there a…
math.OA2019
Noncommutative Choquet theory
Kenneth R. Davidson, Matthew Kennedy
We introduce a new and extensive theory of noncommutative convexity along with a corresponding theory of noncommutative functions. We establish noncommutative analogues of the fund…