Unitary connections on Bratteli diagrams
Quantum Algebra
2022-11-10 v2 Category Theory
Operator Algebras
Abstract
In this paper, we extend Ocneanu's theory of connections on graphs to define a 2-category whose 0-cells are tracial Bratteli diagrams, and whose 1-cells are generalizations of unitary connections. We show that this 2-category admits an embedding into the 2-category of hyperfinite von Neumann algebras, generalizing fundamental results from subfactor theory to a 2-categorical setting.
Cite
@article{arxiv.2211.03822,
title = {Unitary connections on Bratteli diagrams},
author = {Paramita Das and Mainak Ghosh and Shamindra Ghosh and Corey Jones},
journal= {arXiv preprint arXiv:2211.03822},
year = {2022}
}
Comments
35 pages