Tate-Hochschild homology and cohomology of Frobenius algebras
Tate-Hochschild homology and cohomology of Frobenius algebras
Let \Lambda be a two-sided Noetherian Gorenstein k -algebra, for k a field. We introduce Tate–Hochschild homology and cohomology groups for \Lambda , which are defined for all degrees, non-negative as well as negative, and which agree with the usual Hochschild homology and cohomology groups for all degrees larger than …