Controlled objects as a symmetric monoidal functor

Abstract

The goal of this paper is to associate functorially to every symmetric monoidal additive category $\mathbf{A}$ with a strict $G$-action a lax symmetric monoidal functor ${\mathbf{V}}_{\mathbf{A}}^G:G\mathbf{BornCoarse}\to {\mathbf{Add}}_{\infty }$ from the symmetric monoidal category of $G$-bornological coarse spaces $G\mathbf{BornCoarse}$ to the symmetric monoidal $\infty$-category of additive categories ${\mathbf{Add}}_{\infty }$. This allows to refine equivariant coarse algebraic $K$-homology to a lax symmetric monoidal functor.

30 pages

References in corpus (3)

• Equivariant coarse homotopy theory and coarse algebraic $\mathbf{K}$-homology
• A universal coarse K-theory
• Localization for coarse homology theories

Cited by in corpus (1)

• Localization for coarse homology theories