Coherence for monoidal $G$-categories and braided $G$-crossed categories

C\'esar Galindo

Coherence for monoidal $G$-categories and braided $G$-crossed categories

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arxiv 1604.01679 v2 pith:QFBQ4RK5 submitted 2016-04-06 math.QA

César Galindo This is my paper

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keywords categoriescoherencebraidedcrossedmonoidalproveactionsapplication

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abstract

We prove a coherence theorem for actions of groups on monoidal categories. As an application we prove coherence for arbitrary braided $G$-crossed categories.

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Generalised Orbifolds and G-equivariantisation
math.QA 2025-06 accept novelty 6.0 of 10

Generalised orbifold categories of G-crossed ribbon categories are ribbon equivalent to G-equivariantisations, via an explicit functor.

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