2 citations · 4 across the 3 of their papers we have counts for
3 papers
math.KT2011★ 2 cited
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…
math.KT2011
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…
math.KT2010★ 2 cited
Exact sequences for locally convex subalgebras of Pimsner algebras with an application to Quantum Heisenberg Manifolds
Olivier Gabriel, Martin Grensing
We prove six-term exact sequences of Pimsner-Voiculescu type for certain subalgebras of the Cuntz-Pimsner algebras. This sequence may, in particular, be applied to smooth subalgebr…