  We compute the homology groups of transformation groupoids associated with
odometers and show that certain infinite dihedral group odometers give rise to
counterexamples to the HK conjecture, which relates the homology of an
essentially principal, minimal, ample groupoid $G$ with the K-theory of
$C^*_r(G)$. We also show that transformation grupoids of odometers satisfy the
AH conjecture.
