Roe functors preserve homotopies
Operator Algebras
2025-08-12 v1
Abstract
We show that coarse maps between countable metric spaces of bounded geometry induce natural transformations of sufficiently good endofunctors of C*-algebras and prove that this correspondence is invariant with respect to coarse homotopies.
Cite
@article{arxiv.2508.06848,
title = {Roe functors preserve homotopies},
author = {Georgii S. Makeev},
journal= {arXiv preprint arXiv:2508.06848},
year = {2025}
}