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

2025/12/25 by Toshihiko Masuda, Masuda, Toshihiko
Mathematics · #46L37 #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2512.21485

openalex publication_date 2025/12/25 · openalex created_date 2025/12/30 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Monadic reconstruction of unitary Drinfeld centers and Factorization Homology
• Center construction for group-crossed tensor categories
• On the graded center of graded categories
• From subfactors to categories and topology II: The quantum double of tensor categories and subfactors

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• Center construction for group-crossed tensor categories
• The Elliptic Drinfeld Center of a Premodular Category
• Relative centers and tensor products of tensor and braided fusion categories
• Equivariant Morita theory for graded tensor categories
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