Let $k$ be a field and $I$ an $H$-unital two-sided ideal of an associative unital $k$-algebra $A$. Then, based on
Wodzicki's work, we show that the Hochschild homology groups of $A$ with coefficients in $I$ are isomorphic to
the Hochschild homology groups of $I$.
@article{1251832589,
author = {Donadze, Guram and Ladra, Manuel},
title = {Hochschild homology with coefficients in an $H$-unital ideal},
journal = {Homology Homotopy Appl.},
volume = {11},
number = {1},
year = {2009},
pages = { 1-4},
language = {en},
url = {http://dml.mathdoc.fr/item/1251832589}
}
Donadze, Guram; Ladra, Manuel. Hochschild homology with coefficients in an $H$-unital ideal. Homology Homotopy Appl., Tome 11 (2009) no. 1, pp. 1-4. http://gdmltest.u-ga.fr/item/1251832589/