فهرست نشریات علمی دسترسی آزاد ایران

Let $\mathbb{A}=(\mathbb{A}_*)^*$ and $\mathbb{B}=(\mathbb{B}_*)^*$ be dual Banach algebras and  $\mathbb{U}$ be a Banach algebra. Let  $\Omega=(\Omega_*)^*$ be a normal Banach $\mathbb{A}$-bimodule. In this paper, we investigate the notion of $\mathbb{U}$-bimodule $\varphi^{\mathbb{A}}_{_\mathbb{U}}\otimes\psi^{\mathbb{B}}_{_\mathbb{U}}$-Connes amenability for $\mathbb{A} \widehat{{\otimes}} \mathbb{B}$, where $ \varphi^{\mathbb{A}}_{_\mathbb{U}}: \mathbb{A}\rightarrow\mathbb{A}$ and $ \psi^{\mathbb{B}}_{_\mathbb{U}} :\mathbb{B}\rightarrow\mathbb{B}$ are  $w^*$-continuous homomorphisms. Also, we  characterize the $\mathbb{U}$-bimodule $(\psi^{\mathbb{B}}_{_\mathbb{U}},0)$-Connes amenability of the module extension of dual Banach algebra $\mathbb{A}\oplus\Omega$.