一类新的理想康内斯可亲性

Pub Date : 2024-04-14 DOI:10.15672/hujms.1372448

Ahmad Minapoor, A. Rejali, M. Mehdipour

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引用次数: 0

摘要

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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A new class of ideal Connes amenability

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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