  We study invariants associated to Smale spaces obtained from an expanding
endomorphism on a (closed connected Riemannian) flat manifold. Specifically,
the relevant invariants are the $K$-theory of the associated $C^*$-algebras and
Putnam's homology theory for Smale spaces. The latter is isomorphic to the
groupoid homology of the groupoids used to construct the $C^*$-algebras.
