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 II1 factors. In particular, we realize every multitensor C*-category as bimodules over a finite direct sum of II1 factors.
Giorgetti, L., Yuan, W. (2023). Realization of rigid C*-bicategories as bimodules over type II1 von Neumann algebras. ADVANCES IN MATHEMATICS, 415 [10.1016/j.aim.2023.108886].
Realization of rigid C*-bicategories as bimodules over type II1 von Neumann algebras
Giorgetti L.
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2023-01-01
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 II1 factors. In particular, we realize every multitensor C*-category as bimodules over a finite direct sum of II1 factors.File in questo prodotto:
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