Cyclic Cohomology and Chern Connes pairing of some crossed product algebras

Abstract

We compute the cyclic and Hochschild cohomology groups for the algebras ${\mathcal{A}}_{\theta }^{alg}⋊{\mathbb{Z}}_3,{\mathcal{A}}_{\theta }^{alg}⋊{\mathbb{Z}}_4$ and ${\mathcal{A}}_{\theta }^{alg}⋊{\mathbb{Z}}_6$. We also compute the partial Chern-Connes index table for each of these algebras.

arXiv comment31 pages, Final Version, to appear, Journal of Algebra