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arxiv: math/9909027 · v1 · submitted 1999-09-04 · 🧮 math.QA · math.OA

Planar algebras, I

Vaughan F. R. Jones (UC Berkeley) This is my paper
classification 🧮 math.QA math.OA
keywords planaralgebraalgebrasclosedcontractionsexamplefactorfinite
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We introduce a notion of planar algebra, the simplest example of which is a vector space of tensors, closed under planar contractions. A planar algebra with suitable positivity properties produces a finite index subfactor of a II_1 factor, and vice versa.

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  1. Irreducibility of the Wysiwyg representations of Thompson's groups

    math.OA 2019-06 unverdicted novelty 6.0

    Proves irreducibility and mutual inequivalence of Wysiwyg unitary representations of Thompson's groups F and T.