English

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

Operator Algebras 2026-01-16 v2 Category Theory

Abstract

Gelaki-Naidu-Nikshych and Turaev-Virelizier showed the existence of GG-braiding on the relative Drinfeld center of a GG-graded tensor category. We will explain this concept from the viewpoint of Longo-Rehren inclusions.

Keywords

Cite

@article{arxiv.2512.21485,
  title  = {Relative center construction for $G$-graded C$^*$-tensor categories and Longo-Rehren inclusions},
  author = {Toshihiko Masuda},
  journal= {arXiv preprint arXiv:2512.21485},
  year   = {2026}
}

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29 pages