%0 Journal Article
%T Universal cycles and homological invariants of locally convex algebras
%A Martin Grensing
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1103.6243v2