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.

First Page

969

Last Page

1011

DOI

10.1142/S1793525323500589

Publication Date

8-1-2025

Recommended Citation

Das, Paramita; Ghosh, Mainak; Ghosh, Shamindra; and Jones, Corey, "Unitary connections on Bratteli diagrams" (2025). Journal Articles. 5647.
https://digitalcommons.isical.ac.in/journal-articles/5647