A new class of ideal Connes amenability

Year 2024, Volume: 53 Issue: 6, 1686 - 1697, 28.12.2024

Ahmad Minapoor , Ali Rejali , Mohammad Javad Mehdıpour

https://doi.org/10.15672/hujms.1372448

Abstract

In this paper, we introduce the notion of $\sigma-$ideally Connes amenable for dual Banach algebras and give some hereditary properties for this new notion. We also investigate $\sigma-$ideally Connes amenability of $\ell^1(G, \omega)$. We show that if $\omega$ is a diagonally bounded weight function on discrete group $G$ and $\sigma$ is isometrically isomorphism of $\ell^1(G, \omega)$, then $\ell^1(G, \omega)$ is $\sigma-$ideally Connes amenable and so it is ideally Connes amenable.

Keywords

dual Banach algebra, amenability, ideal Connes amenable, group algebra

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