  Uniformly finite homology is a coarse invariant for metric spaces; in
particular, it is a quasi-isometry invariant for finitely generated groups. In
this article, we study uniformly finite homology of finitely generated amenable
groups and prove that it is infinite dimensional in many cases. The main idea
is to use different transfer maps to distinguish between classes in uniformly
finite homology. Furthermore we show that there are infinitely many classes in
degree zero that cannot be detected by means.
