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

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.

18 pages. Final version

References in corpus (3)

• Higher-Dimensional Algebra V: 2-Groups
• Modular extensions of unitary braided fusion categories and 2+1D topological/SPT orders with symmetries
• Group Objects and Internal Categories

Cited by in corpus (11)

• Rigid and Separable Algebras in Fusion 2-Categories
• Spontaneous symmetry breaking from anyon condensation
• Graded twisting of comodule algebras and module categories
• Finite Semisimple Module 2-Categories
• A 3-categorical perspective on G-crossed braided categories
• The Hochschild Complex of a Finite Tensor Category
• Drinfeld Centers and Morita Equivalence Classes of Fusion 2-Categories
• The Little Bundles Operad
• $G$-crossed braided zesting
• Frobenius algebras associated with the $\alpha$-induction for equivariantly braided tensor categories
• Modular ${\mathbb{Z}}_2$-Crossed Tambara-Yamagami-like Categories for Even Groups