Unitary connections on Bratteli diagrams
- 28 December 2023
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Journal of Topology and Analysis
- Vol. 17 (04) , 969-1011
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.Keywords
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Funding Information
- NSF (NSF Grant DMS-2100531)
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