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arXiv · 1912.04546

Commuting squares and planar subalgebras

Keshab Chandra Bakshi·Vijay Kodiyalam
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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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Keshab Chandra Bakshi, Vijay Kodiyalam. 2019-12-10. Commuting squares and planar subalgebras. https://arxiv.org/abs/1912.04546

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