2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64369For a locally compact group G, the convolution product on the space N(L^p(G)) of nuclear operators was defined by Neufang. We study homological properties of the convolution algebra N(L^p(G)) and relate them with some properties of the group G, such as compactness, finiteness, discreteness, and amenability.10 pages; references changed, remarks addedFunctional Analysis46M10; 46H25, 43A20, 16E65text