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

Abstract

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

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