Realization of rigid C*-bicategories as bimodules over type II_1 von Neumann algebras (Wei Yuan)
Time:2023-06-26 Source:Font Size:[Large | Medium | Small] [Print]
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.
Publication:
Advances in Mathematics, Volume 415, 15 February 2023, 108886
DOI: 10.1016/j.aim.2023.108886