2024
DOI: 10.15672/hujms.1372448
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A new class of ideal Connes amenability

Ahmad Minapoor,
Ali Rejali,
Mohammad Javad Mehdıpour

Abstract: In this paper, we introduce the notion of σ−ideally Connes amenable for dual Banach algebras and give some hereditary properties for this new notion. We also investigate σ−ideally Connes amenability of ℓ1(G,ω). We show that if ω is a diagonally bounded weight function on discrete group G and σ is isometrically isomorphism of ℓ1(G,ω), then ℓ1(G,ω) is σ−ideally Connes amenable and so it is ideally Connes amenable.

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