English

Equivariant algebraic $K$-theory of symmetric monoidal Mackey functors

Algebraic Topology 2025-05-13 v2 K-Theory and Homology

Abstract

We provide a unifying approach to different constructions of the algebraic KK-theory of equivariant symmetric monoidal categories. A consequence of our work is that every connective genuine GG-spectrum is equivalent to the equivariant algebraic KK-theory of categorical Mackey functors of Bohmann-Osorno.

Keywords

Cite

@article{arxiv.2312.04705,
  title  = {Equivariant algebraic $K$-theory of symmetric monoidal Mackey functors},
  author = {Maxine Calle and David Chan and Maximilien Péroux},
  journal= {arXiv preprint arXiv:2312.04705},
  year   = {2025}
}

Comments

32 pages. Added an appendix that shows a covariant version of the Guillou-May theorem. Comments still welcome!