%0 Journal Article
%T Hochschild (co)homology of Hopf crossed products
%A Jorge A. Guccione
%A Juan J. Guccione
%J Mathematics
%D 2001
%I arXiv
%X Let A a k-algebra, H a Hopf algebra, E = A#H a general crossed product and M an E-bimodule. We obtain a complex simpler than the canonical one, giving the Hochschild homology of E with coefficients in M. This complex is eqquiped with a natural filtration. We prove that the associated spectral sequence coincides with that obtained by either, the Hochschild-Serre direct method or the Cartan-Leray-Grothendieck method. We also get similar results for the cohomology.
%U http://arxiv.org/abs/math/0104075v1