Theoretical analysis demonstrates the construction of G-braiding on relative Drinfeld centers via Longo-Rehren inclusions, highlighting connections across operator algebras.
Gelaki-Naidu-Nikshych and Turaev-Virelizier showed the existence of G-braiding on the relative Drinfeld center of a G-graded tensor category. We will explain this concept from the viewpoint of Longo-Rehren inclusions.
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Toshihiko Masuda (2026) studied this question.
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