Relative center construction for $G$ -graded C $^*$ -tensor categories and Longo-Rehren inclusions

preprint2026arXivOpen access

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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Relative center construction for $G$ -graded C $^*$ -tensor categories and Longo-Rehren inclusions

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Relative center construction for GGG-graded C∗^*∗-tensor categories and Longo-Rehren inclusions

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Relative center construction for $G$ -graded C $^*$ -tensor categories and Longo-Rehren inclusions