Invariants for the Smale space associated to an expanding endomorphism of a flat manifold

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.