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

October 02, 2020

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.

Keywords:

*none*