11 citations · 15 across the 6 of their papers we have counts for
4 papers · 1 filter
Six-Term Exact Sequences for Smooth Generalized Crossed Products
Olivier Gabriel, Martin Grensing
We define smooth generalized crossed products and prove six-term exact sequences of Pimsner-Voiculescu type. This sequence may, in particular, be applied to smooth subalgebras of t…
The Thom isomorphism in bivariant K-theory
Martin Grensing
We give a simple proof of the smooth Thom isomorphism for complex bundles for the bivariant K-theories on locally convex algebras considered by Cuntz. We also prove the Thom isomor…
A note on Kasparov products
Martin Grensing
Combining Kasparov's theorem of Voiculesu and Cuntz's description of -theory in terms of quasihomomorphisms, we give a simple construction of the Kasparov product. This will be…
Universal cycles and homological invariants of locally convex algebras
Martin Grensing
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; examp…