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This article is cited in 1 scientific paper (total in 1 paper)
Ideal Connes-amenability of Lau product of Banach algebras
A. Minapoora, A. Bodaghib, O. T. Mewomoc a Department of Mathematics,
Ayatollah Boroujerdi University,
Boroujerd, Iran
b Department of Mathematics,
Garmsar Branch,
Islamic Azad University,
Garmsar, Iran
c School of Mathematics, Statistics and Computer Science,
University of KwaZulu-Natal,
Durban, South Africa
Abstract:
Let $\mathcal{A}$ and $\mathcal{B}$ be Banach algebras and $\theta$ be a non-zero character on $\mathcal{B}$. In the current
paper, we study the ideal Connes-amenability of the algebra $\mathcal{A}\times_\theta\mathcal{B}$ so-called the $\tau$-Lau product
algebra. We also prove that if $\mathcal{A}\times_\theta\mathcal{B}$ is ideally Connes-amenable, then both $\mathcal{A}$ and $\mathcal{B}$ are ideally Connes-amenable. As a result, we show that $l^1(S)\times_\theta l^1(S)$ is ideally Connes-amenable, where $S$ is
a Rees matrix semigroup.
Keywords and phrases:
amenability, derivation, ideal amenability, ideal Connes-amenability, Lau product algebra.
Received: 24.07.2020
Citation:
A. Minapoor, A. Bodaghi, O. T. Mewomo, “Ideal Connes-amenability of Lau product of Banach algebras”, Eurasian Math. J., 12:4 (2021), 74–81
Linking options:
https://www.mathnet.ru/eng/emj423 https://www.mathnet.ru/eng/emj/v12/i4/p74
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Abstract page: | 86 | Full-text PDF : | 39 | References: | 15 |
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