Categorical Green functors arising from group actions on categories
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 -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.
arXiv admin note: substantial text overlap with arXiv:1305.3432