2n-Weak module amenability of semigroup algebras

Abstract

Let $S$ be an inverse semigroup with the set of idempotents $E$. We prove that the semigroup algebra ${\ell }^1(S)$ is always $2n$-weakly module amenable as an ${\ell }^1(E)$-module, for any $n\in \mathbb{N}$, where $E$ acts on $S$ trivially from the left and by multiplication from the right.

arXiv commentarXiv admin note: text overlap with arXiv:1207.4514 by other authors

References in corpus (1)

• Approximate and pseudo-amenability of various classes of Banach algebras