Unitary connections on Bratteli diagrams

Authors

Paramita Das, Indian Statistical Institute, Kolkata
Mainak Ghosh, Indian Statistical Institute, Kolkata
Shamindra Ghosh, Indian Statistical Institute, Kolkata
Corey Jones, NC State University

Article Type

Research Article

Publication Title

Journal of Topology and Analysis

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.

DOI

https://10.1142/S1793525323500589

Publication Date

1-1-2023

Comments

Open Access, Green

Recommended Citation

Das, Paramita; Ghosh, Mainak; Ghosh, Shamindra; and Jones, Corey, "Unitary connections on Bratteli diagrams" (2023). Journal Articles. 3889.
https://digitalcommons.isical.ac.in/journal-articles/3889