The goal of this paper is to associate functorially to every symmetric monoidal additive category A with a strict G-action a lax symmetric monoidal functor VG A : GBornCoarse → Add∞ from the symmetric monoidal category of G-bornological coarse spaces GBornCoarse to the symmetric monoidal ∞-category of additive categories Add∞. Among others, this allows to refine equivariant coarse algebraic K-homology to a lax symmetric monoidal functor.
- controlled objects
- symmetric monoidal functors
- coarse algebraic K-homology theory