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arXiv · 2201.05625

A new class of ideal Connes amenability

Ali Rejali·Ahmad Minapoor
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Abstract

In this paper, we introduce a new notion of amenability, $\sigma-$Connes ideal, say, for a large class of dual Banach algebras. We extend the concept of ideal Connes amenability and study their properties. Let $\sigma$ be a $weak^{*}$-continuous endomorphism on a dual Banach algebra $\mathcal{A}$ with dense range. Then the concept of ideal Connes-amenability and $\sigma-$ ideally Connes amenability are the same. We gave some general results and hereditary properties with some examples for this new notion of amenability.

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BibTeXRIS

Ali Rejali, Ahmad Minapoor. 2022-01-14. A new class of ideal Connes amenability. https://arxiv.org/abs/2201.05625

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