Mathematics – K-Theory and Homology
Scientific paper
2006-06-14
Mathematics
K-Theory and Homology
19 Pages. Theorem 3.7 and Corollary 4.4 modified
Scientific paper
We define a version of Hochschild homology and cohomology suitable for a class of algebras admitting compatible actions of bialgebras, called module algebras. We show this (co)homology, called Hopf--Hochschild (co)homology, can also be defined as a derived functor on the category of representations of a crossed product algebra. We investigate the relationship of our theory with Hopf cyclic cohomology and also prove Morita invariance of the Hopf--Hochschild (co)homology.
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