Thu, 27 May 2021
16:00 -
16:45
Virtual
Jones index for subfactors
Emily Peters
(Loyola University Chicago)
Further Information
Part of UK virtual operator algebras seminar: https://sites.google.com/view/uk-operator-algebras-seminar/home
Abstract
In this talk I will explain how a subfactor (ie an inclusion of type II_1 factors) give rise to a diagrammatic algebra called the Temperley-Lieb-Jones algebra. We will observe the connection between the index of the subfactor, and the TLJ algebra. In the TLJ algebra setting, we will observe that indices below four are discrete, while any number above four can be an index.