Let S be a Rees semigroup, and let ℓ¹(S) be its convolution semigroup algebra. Using Morita equivalence we show that bounded Hochschild homology and cohomology of ℓ¹(S) are isomorphic to those of the underlying discrete group algebra.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-2-1, author = {Fr\'ed\'eric Gourdeau and Niels Gr\o nb\ae k and Michael C. White}, title = {Homology and cohomology of Rees semigroup algebras}, journal = {Studia Mathematica}, volume = {204}, year = {2011}, pages = {105-121}, zbl = {1239.46050}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-2-1} }
Frédéric Gourdeau; Niels Grønbæk; Michael C. White. Homology and cohomology of Rees semigroup algebras. Studia Mathematica, Tome 204 (2011) pp. 105-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-2-1/