  The external Kasparov product is used to construct odd and even spectral
triples on crossed products of $C^*$-algebras by actions of discrete groups
which are equicontinuous in a natural sense. When the group in question is $\Z$
this gives another viewpoint on the spectral triples introduced by Belissard,
Marcolli and Reihani. We investigate the properties of this construction and
apply it to produce spectral triples on the Bunce-Deddens algebra arising from
the odometer action on the Cantor set and some other crossed products of
AF-algebras.
