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arXiv · 1804.04006

Property (T) discrete quantum groups and subfactors with triangle presentations

Stefaan Vaes·Matthias Valvekens
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Abstract

Kazhdan's property (T) has been studied for several discrete group-like structures, including standard invariants of Jones' subfactors and discrete quantum groups. We prove a Zuk-type spectral gap criterion for property (T) in this setting. This allows us to construct a family of property (T) discrete quantum groups, as well as subfactor standard invariants, given by generators and a triangle presentation. These are the first examples of property (T) discrete quantum groups that are not directly related to a discrete group with property (T).

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BibTeXRIS

Stefaan Vaes, Matthias Valvekens. 2018-04-11. Property (T) discrete quantum groups and subfactors with triangle presentations. https://doi.org/10.1016/j.aim.2019.01.023

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