@article { author = {Sattari, Mohammad Hossein and Shafieasl, Hamid}, title = {Symmetric module and Connes amenability}, journal = {Sahand Communications in Mathematical Analysis}, volume = {05}, number = {1}, pages = {49-59}, year = {2017}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2017.21382}, abstract = {In this paper we introduce two symmetric variants of amenability, symmetric module amenability and symmetric Connes amenability. We determine symmetric module amenability and symmetric Connes amenability of some concrete Banach algebras. Indeed, it is shown that $\ell^1(S)$ isĀ  a symmetric $\ell^1(E)$-module amenable if and only if $S$ is amenable, where $S$ is an inverse semigroup with subsemigroup $E(S)$ of idempotents. In symmetric connes amenability, we have proved that $M(G)$ is symmetric connes amenable if and only if $G$ is amenable.}, keywords = {Banach algebras,Symmetric amenability,Module amenability}, url = {https://scma.maragheh.ac.ir/article_21382.html}, eprint = {https://scma.maragheh.ac.ir/article_21382_4d0846371eaab14fedda80b8067ab743.pdf} }