31 citations · 163 across the 21 of their papers we have counts for
Showing 2021 · math.OAShow all
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math.OA2021★ 8 cited
Bayesian inversion and the Tomita-Takesaki modular group
Luca Giorgetti, Arthur J. Parzygnat, Alessio Ranallo +1
We show that conditional expectations, optimal hypotheses, disintegrations, and adjoints of unital completely positive maps, are all instances of Bayesian inverses. We study the ex…
math.OA2021
A planar algebraic description of conditional expectations
Luca Giorgetti
Let be a unital inclusion of arbitrary von Neumann algebras. We give a 2-{}-categorical/planar algebraic description of normal faithful conditi…
math.OA2021★ 8 cited
Galois Correspondence and Fourier Analysis on Local Discrete Subfactors
Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
Discrete subfactors include a particular class of infinite index subfactors and all finite index ones. A discrete subfactor is called local when it is braided and it fulfills a com…