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.
;
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.
2023
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Type II von Neumann algebra
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].
Giorgetti, L; Yuan, W
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/321842
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