Coarse medians and Property A

Abstract

We prove that uniformly locally finite quasigeodesic coarse median spaces of finite rank and at most exponential growth have Property A. This offers an alternative proof of the fact that mapping class groups have property A.

15 pages; minor updates; added quasigeodesic assumption

References in corpus (1)

• Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups

Cited by in corpus (2)

• Superrigidity of actions on finite rank median spaces
• Coarse median algebras: The intrinsic geometry of coarse median spaces and their intervals