Roe functors preserve homotopies

2025/08/09 by Makeev, Georgii S. · 1 citation
#18A25 (Secondary) #46L80 (Primary) 51F30 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2508.06848

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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• Scalability and asymptotic adjunction

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