ON χ ⊗ η--STRONG CONNES AMENABILITY OF CERTAIN DUAL BANACH ALGEBRAS

چکیده مقاله

In this paper, the notions of strong Connes amenability for certain products of Banach algebras and module extension of dual Banach algebras is investigated. We characterize χ ⊗ η-strong Connes amenability of projective tensor product K⊗bH via χ ⊗ η-σwc virtual diagonals, where χ ∈ K∗ and η ∈ H∗ are linear functionals on dual Banach algebras K and H, respectively. Also, we present some conditions for the existence of (χ, θ)-σwc virtual diagonals in the θ-Lau product of K ×θ H. Finally, we characterize the notion of (χ, 0)-strong Connes amenability for module extension of dual Banach algebras K ⊕ X, where X is a normal Banach K-bimodule.