  We prove that all K-homology classes of the stable (and unstable) Ruelle
algebra of a Smale space have explicit Fredholm module representatives that are
finitely summable on the same smooth subalgebra and with the same degree of
summability. The smooth subalgebra is induced by a metric on the underlying
Smale space groupoid and fine transversality relations between stable and
unstable sets. The degree of summability is related to the fractal dimension of
the Smale space. Further, the Fredholm modules are obtained by taking Kasparov
products with a fundamental class of the Spanier-Whitehead K-duality between
the Ruelle algebras. Finally, we obtain general results on stability under
holomorphic functional calculus and construct Lipschitz algebras on \'etale
groupoids.
