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

math.KT

/ Authors

/ Abstract

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

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

math.KT

/ Authors

Yeong Chyuan Chung, Piotr W. Nowak

/ Abstract

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