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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

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