Expanders are counterexamples to the $\ell^p$ coarse Baum–Connes conjecture

Yeong Chyuan Chung; Piotr W. Nowak

doi:10.4171/jncg/498

JournalsjncgVol. 17, No. 1pp. 305–331

Expanders are counterexamples to the $ℓ^{p}$ coarse Baum–Connes conjecture

Yeong Chyuan Chung
Leiden University, Netherlands
Piotr W. Nowak
Polish Academy of Sciences, Warsaw, Poland

$Expanders are counterexamples to the $\ell^p$ coarse Baum–Connes conjecture cover$

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Abstract

We consider an $ℓ^{p}$ coarse Baum–Connes assembly map for $1 < p < \infty$ , and show that it is not surjective for expanders arising from residually finite hyperbolic groups.

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Yeong Chyuan Chung, Piotr W. Nowak, Expanders are counterexamples to the $ℓ^{p}$ coarse Baum–Connes conjecture. J. Noncommut. Geom. 17 (2023), no. 1, pp. 305–331

DOI 10.4171/JNCG/498