Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras
Category Theory
2023-08-31 v2 Operator Algebras
Quantum Algebra
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 factors. In particular, we realize every multitensor C*-category as bimodules over a finite direct sum of II factors.
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Cite
@article{arxiv.2010.01072,
title = {Realization of rigid C*-bicategories as bimodules over type II$_1$ von Neumann algebras},
author = {Luca Giorgetti and Wei Yuan},
journal= {arXiv preprint arXiv:2010.01072},
year = {2023}
}
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21 pages