@article{Giorgetti2024, 
author = {Luca Giorgetti and Wei Yuan and XuRui Zhao},
title = {Separable algebras in multitensor C           ∗  -categories are unitarizable},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {11320-11334},
keywords = {multitensor C∗-category, separable algebra, unitarily separable algebra, C∗-Frobenius algebra, Q-system},
url = {https://www.sciopen.com/article/10.3934/math.2024555},
doi = {10.3934/math.2024555},
abstract = {S. Carpi et al. (Comm. Math. Phys., 402 (2023), 169–212) proved that every connected (i.e., haploid) Frobenius algebra in a tensor C           ∗  -category is unitarizable (i.e., isomorphic to a special C           ∗  -Frobenius algebra). Building on this result, we extend it to the non-connected case by showing that an algebra in a multitensor C           ∗  -category is unitarizable if and only if it is separable.}
}