Hilbert modules over a planar algebra and the Haagerup property

被引：2

作者：

Brothier, Arnaud ^{[1
]}

Jones, Vaughan F. R. ^{[1
]}

机构：

[1] Vanderbilt Univ, Dept Math, Stevenson Ctr 1326, Nashville, TN 37212 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2015年 / 269卷 / 11期

基金：

美国国家科学基金会;

关键词：

Subfactors; Planar algebras; Standard invariants; Haagerup property; SUBFACTORS; AMENABILITY; INDEX;

D O I：

10.1016/j.jfa.2015.09.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Papa and Vaes. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：3634 / 3644

页数：11

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