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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
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
Аннотация:
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.
Ключевые слова и фразы:
amenability, derivation, ideal amenability, ideal Connes-amenability, Lau product algebra.
Поступила в редакцию: 24.07.2020
Образец цитирования:
A. Minapoor, A. Bodaghi, O. T. Mewomo, “Ideal Connes-amenability of Lau product of Banach algebras”, Eurasian Math. J., 12:4 (2021), 74–81
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj423 https://www.mathnet.ru/rus/emj/v12/i4/p74
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Страница аннотации: | 86 | PDF полного текста: | 39 | Список литературы: | 15 |
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