Commuting squares and planar subalgebras

Published 10 Dec 2019 in math.OA | (1912.04546v1)

Abstract: We show a close relationship between non-degenerate smooth commuting squares of $II_1$-factors with all inclusions of finite index and inclusions of subfactor planar algebras by showing that each leads to a construction of the other. One direction of this uses the Guionnet-Jones-Shlyakhtenko construction.

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