Nick Manor, Department of Pure Mathematics, University of Waterloo
"Nonunital operator systems and noncommutative convexity"
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.
Zoom meeting: https://us02web.zoom.us/j/87274747278?pwd=RG1Bak5lbk1GaHdIL0dtSzlBbjdiUT09