Nonunital operator systems and noncommutative convexity
Nick Manor (University of Waterloo)
Abstract: The recent work on nc convex sets of Davidson-Kennedy and Kennedy-Shamovich show that there is a rich interplay between the category of operator systems and the category of compact nc convex sets, leading to new insights even in the case of C*-algebras. The category of nc convex sets are a generalization of the usual notion of a compact convex set that provides meaningful connections between convex theoretic notions and notions in operator system theory. In this talk, we present a related duality theorem for norm closed self-adjoint subspaces of $B(H)$. Using this duality, we will describe various C*-algebraic and operator system theoretic notions, as well as a rich class of examples arising as duals of well-understood operator systems. This is joint work with Matthew Kennedy and Se-Jin Kim.
functional analysisgroup theoryoperator algebrasquantum algebra
Audience: researchers in the topic
Groups, Operators, and Banach Algebras Webinar
Series comments: This is an online seminar series for early career researchers working in group theory, operator theory/operator algebra, and Banach algebras. To be added to our mailing list and receive links to our meetings please email us at gobaseminar@gmail.com.
Organizers: | Jared White*, Ulrik Enstad, Bence Horvath |
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