Ideal Connes amenability of \(l^1\)-Munn algebras and its application to semigroup algebras (Q2031439)

A dual Banach algebra \(\mathcal A\) is called ideally Connes amenable if, for each weak*-closed ideal \(\mathcal I\) of \(\mathcal A\), every weak*-continuous derivation from \(\mathcal A\) into \(\mathcal I\) is inner. In this paper, the author studies the ideal Connes amenability of the so-called Esslamzadeh-Munn algebra, which is indeed an \(l^1\)-matrix algebra over a dual Banach algebra. Some semigroup algebras are also investigated.