Categorical Green functors arising from group actions on categories
Category Theory
2014-07-16 v1
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.
Keywords
Cite
@article{arxiv.1407.3994,
title = {Categorical Green functors arising from group actions on categories},
author = {Sebastian Burciu},
journal= {arXiv preprint arXiv:1407.3994},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1305.3432