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 

　　Author: 

　　Luca Giorgetti 

　　Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN 37240, United States of America 

　　Dipartimento di Matematica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 1, I-00133 Roma, Italy 

　　Wei Yuan 

　　Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China 

　　School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China 

　　Email address: wyuan@math.ac.cn