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SUMMARY:Distributional invariance principles for Jones-Temperley-Lieb alge
 bras - Claus Koestler (University College Cork)
DTSTART:20230627T123000Z
DTEND:20230627T131000Z
UID:TALK201973@talks.cam.ac.uk
DESCRIPTION:Distributional symmetries and invariance principles provide de
 ep structural results in classical probability. For example\, the de Finet
 ti theorem characterizes an infinite sequence of random variables to be co
 nditional independent and identically distributed if and only if its joint
  distribution is invariant under permuting these random variables. Recentl
 y significant progress was made in transferring de Finetti type results to
  an operator algebraic setting of noncommutative probability. Here commuti
 ng squares provide a noncommutative generalization of conditional independ
 ence in classical probability. \n&nbsp\;\nI will briefly overview some of 
 these newer developments\, in particular when applied to subfactors. My ta
 lk will focus on ongoing research on distributional symmetries in the cont
 ext of Jones-Temperley-Lieb algebras.&nbsp\; It is based on joint work wit
 h Gwion Evans\, Rolf Gohm\, Arundhathi Krishnan\, and Stephen Wills.
LOCATION:Seminar Room 1\, Newton Institute
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