@article {
author = {Ghaffari, A. and Javadi, S.},
title = {$\varphi$-Connes amenability of dual Banach algebras},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {1},
pages = {25-39},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Generalizing the notion of character amenability for Banach algebras, we study the concept of $\varphi$-Connes amenability of a dual Banach algebra $\mathcal{A}$ with predual $\mathcal{A}_*$, where $\varphi$ is a homomorphism from $\mathcal{A}$ onto $\Bbb C$ that lies in $\mathcal{A}_*$. Several characterizations of $\varphi$-Connes amenability are given. We also prove that the following are equivalent for a unital weakly cancellative semigroup algebra $l^1(S)$: (i) $S$ is $\chi$-amenable. (ii) $l^1(S)$ is $\hat{\chi}$-Connes amenable. (iii) $l^1(S)$ has a $\hat{\chi}$-normal, virtual diagonal.},
keywords = {Banach algebras,Connes amenability,derivation,dual Banach algebra},
url = {http://bims.iranjournals.ir/article_992.html},
eprint = {http://bims.iranjournals.ir/article_992_6d8636f6087c3fdc1f05ec75a202eb7d.pdf}
}