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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Distributional invariance principles for Jones-Temperley-Lieb algebras

## Distributional invariance principles for Jones-Temperley-Lieb algebrasAdd to your list(s) Download to your calendar using vCal - Claus Koestler (University College Cork)
- Tuesday 27 June 2023, 13:30-14:10
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. OASW05 - OAS Follow on: Operator Algebras: Subfactors and Applications Distributional symmetries and invariance principles provide deep structural results in classical probability. For example, the de Finetti theorem characterizes an infinite sequence of random variables to be conditional independent and identically distributed if and only if its joint distribution is invariant under permuting these random variables. Recently significant progress was made in transferring de Finetti type results to an operator algebraic setting of noncommutative probability. Here commuting squares provide a noncommutative generalization of conditional independence in classical probability. I will briefly overview some of these newer developments, in particular when applied to subfactors. My talk will focus on ongoing research on distributional symmetries in the context of Jones-Temperley-Lieb algebras. It is based on joint work with Gwion Evans, Rolf Gohm, Arundhathi Krishnan, and Stephen Wills. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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