Reduction of Hochschild cohomology over algebras finite over their center
arXiv:1404.6105 · doi:10.1016/j.jpaa.2015.02.021
Abstract
We borrow ideas from Grothendieck duality theory to noncommutative algebra, and use them to prove a reduction result for Hochschild cohomology for noncommutative algebras which are finite over their center. This generalizes a result over commutative algebras by Avramov, Iyengar, Lipman and Nayak.
9 pages, comments are welcome!