Abstract:In this paper it is shown that for a Brandt semigroup $S$ over a group $G$ with an arbitrary index set $I$, if $G$ is amenable, then the Banach semigroup algebra $\ell ^1(S)$ is pseudo-amenable.
Keywords: pseudo-amenability, Brandt semigroup algebra, amenable group
AMS Subject Classification: 43A20 43A07 46H20