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arXiv · 2607.11767

Mackeyfication of equivariant categories I

Paul Balmer·Hatice Mutlu
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Abstract

Colloquially speaking, `equivariant categories' refer to families of additive categories $\mathcal{A}(G)$ depending 2-functorially on a finite group $G$. We construct approximations of equivariant categories by Mackey 2-functors, both on the left and on the right. The idea is to enlarge $\mathcal{A}$ in a minimal way to make induction appear. These `mackeyfications' are inspired by Boltje's work with ordinary Mackey 1-functors. We also relate our left and right mackeyfications via a mark transformation. Finally we discuss examples.

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BibTeXRIS

Paul Balmer, Hatice Mutlu. 2026-07-13. Mackeyfication of equivariant categories I. https://arxiv.org/abs/2607.11767

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