Year: 2011
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Gabriel, Olivier, Grensing, Martin
Institutions: Université Paris Diderot, Université Pierre-et-Marie-Curie
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2949356104