A new class of ideal Connes amenability

Pub Date : 2024-04-14 DOI:10.15672/hujms.1372448
Ahmad Minapoor, A. Rejali, M. Mehdipour
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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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一类新的理想康内斯可亲性
在本文中,我们引入了对偶巴拿赫代数的 σ-ideally Connes amenable 概念,并给出了这一新概念的一些遗传性质。我们还研究了 ℓ1(G,ω) 的 σ-ideally Connes 可通性。我们证明,如果ω是离散群 G 上对角有界的权函数,且 σ 是 ℓ1(G,ω) 的同构同调,那么 ℓ1(G,ω) 是 σ-ideally Connes 可亲的,因此它是理想的 Connes 可亲的。
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