Some remarks on free products of rigid $C^*$-2-categories
Operator Algebras
2020-09-01 v1 Category Theory
Quantum Algebra
Abstract
In this informal expository note, we present a universal, formulaic construction of the free product of rigid -2-categories. This construction allows for a straightforward, purely categorical formulation of the free composition of subfactors and planar algebras considered by Bisch and Jones. As an application, we explain the results of Tarrago and Wahl on free wreath products of compact quantum groups in this categorical language.
Keywords
Cite
@article{arxiv.2008.12994,
title = {Some remarks on free products of rigid $C^*$-2-categories},
author = {Matthias Valvekens},
journal= {arXiv preprint arXiv:2008.12994},
year = {2020}
}
Comments
20 pages, several diagrams. Expository note, not intended for journal publication. Comments are welcome!