A generalization of Gabriel's Galois covering functors II: 2-categorical Cohen-Montgomery duality

Details A generalization of Gabriel's Galois covering functors II: 2-categorical Cohen-Montgomery duality A generalization of Gabriel's Galois covering functors II: 2-categorical Cohen-Montgomery duality

2009-05-24

arxiv.org/abs/0905.3884v3

Mathematics

Category Theory

28 pages, title changed, changes until section 8, section 9 was added, in which equivalences in new 2-categories were characte

Scientific paper

Given a group $G$, we define suitable 2-categorical structures on the class of all small categories with $G$-actions and on the class of all small $G$-graded categories, and prove that 2-categorical extensions of the orbit category construction and of the smash product construction turn out to be 2-equivalences (2-quasi-inverses to each other), which extends the Cohen-Montgomery duality.

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