  Using an appropriate notion of locally convex Kasparov modules, we show how
to induce isomorphisms under a large class of functors on the category of
locally convex algebras; examples are obtained from spectral triples. Our
considerations are based on the action of algebraic K-theory on these functors,
and involve compatibility properties of the induction process with this action,
and with Kasparov-type products. This is based on an appropriate interpretation
of the Connes-Skandalis connection formalism. As an application, we prove Bott
periodicity and a Thom isomorphism for algebras of Schwartz functions.
