Separable algebras in multitensor C$ ^* $-categories are unitarizable-Reference-Cited by-同舟云学术

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

Published:2024 Issue:5 Volume:9 Page:11320-11334
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Giorgetti Luca¹,Yuan Wei²³,Zhao XuRui³

Affiliation:

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

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

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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