Mathematics – K-Theory and Homology
Scientific paper
2011-09-19
Mathematics
K-Theory and Homology
26 pages, to appear in J. Noncommut. Geom
Scientific paper
We study Tate-Hochschild homology and cohomology for a two-sided Noetherian Gorenstein algebra. These (co)homology groups are defined for all degrees, non-negative as well as negative, and they agree with the usual Hochschild (co)homology groups for all degrees larger than the injective dimension of the algebra. We prove certain duality theorems relating the Tate-Hochschild (co)homology groups in positive degree to those in negative degree, in the case where the algebra is Frobenius. We explicitly compute all Tate-Hochschild (co)homology groups for certain classes of Frobenius algebras, namely, certain quantum complete intersections.
Bergh Petter Andreas
Jorgensen David A.
No associations
LandOfFree
Tate-Hochschild homology and cohomology of Frobenius algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Tate-Hochschild homology and cohomology of Frobenius algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tate-Hochschild homology and cohomology of Frobenius algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-96804