Weak amenability of semigroup algebras modulo an ideal

Authors

  • Ahmad Mehrabi Central Tehran Branch, Islamic Azad University
  • Hamidreza Rahimi Central Tehran Branch, Islamic Azad University

DOI:

https://doi.org/10.30495/jme.v12i1.690

Keywords:

Weak amenability, weak amenability modulo an ideal, semigroup algebra, group congruence

Abstract

The main purpose of this paper is to investigate weak amenability of semigroup algebras. We relate this to a new notion of weak amenability modulo an ideal of Banach algebras. As an important result, we show that $l^1(S)$ is weakly amenable modulo $I_{\sigma}$, where $I_{\sigma}$ is the corresponding ideal of the group congruence $\sigma$.

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Published

2018-06-29

Issue

Vol. 12

Section

Vol. 12, No. 3, (2018)

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