Separable algebras in multitensor C$ ^* $-categories are unitarizable

Autor: Luca Giorgetti, Wei Yuan, XuRui Zhao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 5, Pp 11320-11334 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024555?viewType=HTML
Popis: 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.
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