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SUMMARY:Operator systems and noncommutative geometry [MPIM]
DTSTART:20260611T130000Z
DTEND:20260611T140000Z
DTSTAMP:20260607T031100Z
UID:indico-event-1371@math-events.uni-bonn.de
DESCRIPTION:Speakers: Malte Leimbach (MPIM)\n\nMPI-Oberseminar\nOperator a
 lgebraists like to think of unital C$^*$-algebras as noncommutative compac
 t Hausdorff spaces.In noncommutative geometry\, additional metric space st
 ructure is provided by a noncommutative version of the optimal transport c
 ost.This concept of distance still makes sense when relaxing the C$^*$-alg
 ebraic setting\, as long as there is enough algebraic structure to make se
 nse of states (= noncommutative probability measures):the structure in que
 stion is called an \\emph{operator system}.    Operator systems are easy
  to define\, but allow for a rich theory\, contributing to the interplay b
 etween operator algebras and quantum information theory.Moreover\, they ar
 e suitable for incorporating spectral truncations and constrained spatial 
 resolution in noncommutative geometry.This talk will point out some of the
  highlights of the theory of operator systems and of the recent approach t
 o noncommutative geometry in terms of operator systems\, with emphasis on 
 the metric aspect.\n \n\nhttps://math-events.uni-bonn.de/event/1371/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1371/
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