论文标题

Bratteli图的单一连接

Unitary connections on Bratteli diagrams

论文作者

Das, Paramita, Ghosh, Mainak, Ghosh, Shamindra, Jones, Corey

论文摘要

在本文中,我们将Ocneanu在图上的连接理论扩展到定义一个2类,其0细胞是奇怪的曲折图,其1个细胞是单位连接的概括。我们表明,这两类将嵌入到2类高素质von Neumann代数中的嵌入,从亚因子理论概括了基本结果到2类别环境。

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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