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SUMMARY:Nick Manor (University of Waterloo)
DTSTART:20210503T140000Z
DTEND:20210503T150000Z
DTSTAMP:20260423T035936Z
UID:GOBA/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GOBA/26/">No
 nunital operator systems and noncommutative convexity</a>\nby Nick Manor (
 University of Waterloo) as part of Groups\, Operators\, and Banach Algebra
 s Webinar\n\n\nAbstract\nThe recent work on nc convex sets of Davidson-Ken
 nedy 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 conve
 x set that provides meaningful connections between convex theoretic notion
 s and notions in operator system theory. In this talk\, we present a relat
 ed 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 o
 f well-understood operator systems. This is joint work with Matthew Kenned
 y and Se-Jin Kim.\n
LOCATION:https://researchseminars.org/talk/GOBA/26/
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