2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73985Let $A$ and $B$ be separable $C^*$-algebras, $A$ unital and $B$ stable. It is shown that there is a natural six-terms exact sequence which relates the group which arises by considering all semi-split extensions of $A$ by $B$ to the group which arises by restricting the attention to \emph{unital} semi-split extensions of $A$ by $B$. The six-terms exact sequence is an unpublished result of G. Skandalis.LaTeX, 6 pagesOperator Algebras46L80text