B. Khodsiani
University of Isfahan
[ 1 ] - Arens regularity of inverse semigroup algebras
We present a characterization of Arens regular semigroup algebras $ell^1(S)$, for a large class of semigroups. Mainly, we show that if the set of idempotents of an inverse semigroup $S$ is finite, then $ell^1(S)$ is Arens regular if and only if $S$ is finite.