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arXiv · 2211.03822

Unitary connections on Bratteli diagrams

Paramita Das·Mainak Ghosh·Shamindra Ghosh·Corey Jones
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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.

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BibTeXRIS

Paramita Das, Mainak Ghosh, Shamindra Ghosh, Corey Jones. 2022-11-07. Unitary connections on Bratteli diagrams. https://arxiv.org/abs/2211.03822

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