Limits of traces of Temperley-Lieb algebras
arXiv:2212.11592 · doi:10.1016/j.jalgebra.2023.12.018
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.