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arXiv · 2508.06848

Roe functors preserve homotopies

Georgii S. Makeev
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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.

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Georgii S. Makeev. 2025-08-09. Roe functors preserve homotopies. https://doi.org/10.1090/proc%2F16824

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