Controlled objects as a symmetric monoidal functor

Ulrich Bunke* (Corresponding Author), Luigi Caputi* (Corresponding Author)

*Corresponding author for this work

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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.
Original languageEnglish
Pages (from-to)182-211
Number of pages30
JournalHigher Sutructures
Issue number1
Early online date1 Jul 2022
Publication statusPublished - 1 Jul 2022


  • controlled objects
  • symmetric monoidal functors
  • coarse algebraic K-homology theory


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