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arXiv · 2010.01072

Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras

Luca Giorgetti·Wei Yuan
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Abstract

We prove that every rigid C*-bicategory with finite-dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II$_1$ factors. In particular, we realize every multitensor C*-category as bimodules over a finite direct sum of II$_1$ factors.

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Luca Giorgetti, Wei Yuan. 2020-10-02. Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras. https://doi.org/10.1016/j.aim.2023.108886

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