Article
Keywords:
pseudo-amenability; Brandt semigroup algebra; amenable group
Summary:
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.
References:
                        
[1] Duncan J., Namioka I.: 
Amenability of inverse semigroups and their semigroup algebras. Proc. Royal Soc. Edinburgh Sect. A 80 (1978), 309--321. 
MR 0516230 | 
Zbl 0393.22004[9] Sadr M.M., Pourabbas A.: 
Approximate amenability of Banach category algebras with application to semigroup algebras. Semigroup Forum(to appear). 
MR 2534223