2n-Weak module amenability of semigroup algebras

Hoger Ghahramani

2n-Weak module amenability of semigroup algebras

Functional Analysis 2020-01-27 v1

Authors: Hoger Ghahramani

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.

Keywords

amenable groups nilpotent groups module theory

Cite

@article{arxiv.1403.1026,
  title  = {2n-Weak module amenability of semigroup algebras},
  author = {Hoger Ghahramani},
  journal= {arXiv preprint arXiv:1403.1026},
  year   = {2020}
}

Comments

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

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