Module Connes amenability for projective tensor product and -Lau produt of Banach algebras

چکیده مقاله

Let A=( A⁎)* and B =( B⁎)* be two Banach algebras where A⁎ and B⁎ are preduals of A and B respectively. Let Ω be a normal Banach A-bimodule with predual Ω⁎ and ϴ : B → A be an algebraic homomorphism. In this paper, we investigate the module Connes amenability for ϴ-Lau product of Banach algebras. Also, we investigate the conditions for module Connes amenability of ϴ-Lau product of Banach algebras. Moreover, we characterize the (ψ,ϴ)−module Connes amenability of ϴ-Lau product A×ϴB. Finally, we obtain characterization for (ψ, 0)-module Connes amenability of module extension of Banach algebra A⊕Ω