Six-Term Exact Sequences for Smooth Generalized Crossed Products

Details Six-Term Exact Sequences for Smooth Generalized Crossed Products Six-Term Exact Sequences for Smooth Generalized Crossed Products

2011-11-09

arxiv.org/abs/1111.2154v1

Mathematics

K-Theory and Homology

This paper is closely related to arXiv:1011.6238v1 [math.KT]. We follow the same general line of argument, but the proofs of t

Scientific paper

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.

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