Nonunital operator systems and noncommutative convexity

Nick Manor (University of Waterloo)

03-May-2021, 14:00-15:00 (3 years ago)

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
*contact for this listing

Export talk to