2011/11/09 by Olivier Gabriel, Gabriel, Olivier, Martin Grensing +1
Mathematics · #Advanced Operator Algebra Research #Spectral Theory in Mathematical Physics #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.1111.2154
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 the Quantum Heisenberg Manifolds in order to compute the generators of their cyclic cohomology. Our proof is based on a combination of arguments from the setting of (Cuntz-)Pimsner algebras and the Toeplitz proof of Bott-periodicity.