Commuting squares and planar subalgebras

2019/12/10 by Bakshi, Keshab Chandra, Kodiyalam, Vijay
#46L37 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1912.04546

Abstract

We show a close relationship between non-degenerate smooth commuting squares of II₁-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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