vix.ing · top · new · best · stats · spec

Categorical Green functors arising from group actions on categories

2014/07/15 by Burciu, Sebastian
#16T20 #18D10 #19A22 #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.3994

Abstract

In this paper we introduce the notion of a categorical Mackey functor. This categorical notion allows us to obtain new Mackey functors by passing to Quillen's K-theory of the corresponding abelian categories. In the case of an action by monoidal autoequivalences on a monoidal category the Mackey functor obtained at the level of Grothendieck rings has in fact a Green functor structure.

Related