Hochschild (co)homology of Hopf crossed products

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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.
26 pages

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K-Theory and Homology, Rings and Algebras, 16E40; 16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/61252

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0104075
 http://arxiv.org/abs/math/0104075

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arXiv