On growth of homology torsion in amenable groups

Suppose an amenable group $G$ is acting freely on a simply connected simplicial complex $\tilde X$ with compact quotient $X$. Fix $n \geq 1$, assume $H_n(\tilde X, \mathbb{Z})=0$ and let $(H_i)$ be a Farber chain in $G$. We prove that the torsion of the integral homology in dimension $n$ of $\tilde{...

Full description

Bibliographic Details
Main Authors: Kar, A, Kropholler, P, Nikolov, N
Format: Journal article
Published: Cambridge University Press 2016