Hilbert modules over a planar algebra and the Haagerup property
Operator Algebras
2015-03-11 v1 Category Theory
Functional Analysis
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1503.02708,
title = {Hilbert modules over a planar algebra and the Haagerup property},
author = {Arnaud Brothier and Vaughan Jones},
journal= {arXiv preprint arXiv:1503.02708},
year = {2015}
}
Comments
6 pages, 9 figures