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arXiv · 1503.02708

Hilbert modules over a planar algebra and the Haagerup property

Arnaud Brothier·Vaughan Jones
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Abstract

Given a subfactor planar algebra P and a Hilbert P-module of lowest weight 0 we build a bimodule over the symmetric enveloping inclusion associated to P. As an application we prove diagrammatically that the Temperley-Lieb-Jones standard invariants have the Haagerup property. This provides a new proof of a result due to Popa and Vaes.

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BibTeXRIS

Arnaud Brothier, Vaughan Jones. 2015-03-09. Hilbert modules over a planar algebra and the Haagerup property. https://arxiv.org/abs/1503.02708

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