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arXiv · 1407.3994

Categorical Green functors arising from group actions on categories

Sebastian Burciu
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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.

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Sebastian Burciu. 2014-07-15. Categorical Green functors arising from group actions on categories. https://arxiv.org/abs/1407.3994

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