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

چکیده مقاله

Abstract. Let A and B be Banach algebras with preduals A and B respectively, and : B ! A be an algebraic homomorphism. In this paper, we develop the notions of module Connes amenability for certain Banach algebras. Indeed, we investigate and give necessary and sufficient conditions for module Connes amenability of projective tensor product Ab B. Moreover, we characterize the ( ; )-module Connes amenability of -Lau product A B, which and are homomorphisms in A and B, respectively.