Limits of traces of Temperley-Lieb algebras
Quantum Algebra
2024-04-08 v1 Representation Theory
Abstract
We review the classification of positive extremal traces on the generic infinite Temperley-Lieb algebra, and then extend the classification to the non-semisimple root of unity case. As a result, we obtain Hilbert space structures on the full infinite Temperley-Lieb algebra at roots of unity.
Keywords
Cite
@article{arxiv.2212.11592,
title = {Limits of traces of Temperley-Lieb algebras},
author = {Stephen T. Moore},
journal= {arXiv preprint arXiv:2212.11592},
year = {2024}
}