Cyclic Cohomology of Etale Groupoids; The General Case, by Crainic Marius

We give a general method for computing the cyclic cohomology of crossed products by etale groupoids, extending the Feigin-Tsygan-Nistor spectral sequences. In particular we extend the computations performed by Connes, Brylinski, Burghelea and Nistor for the convolution algebra (of compactly supported smooth functions) of an etale groupoid, removing the Hausdorffness condition and including the computation of hyperbolic components. Examples like group actions on manifolds and foliations are considered.

Auxiliary information: ``cor.dvi'' is the paper; ``moe'' and ``torus'' are two ps-files containing two pictures.


Crainic Marius <crainic@math.ruu.nl>