Some results on φ-Connes amenability of dual Banach algebras

چکیده مقاله

Let A be a Banach algebra and φ♯ be the unique extension of the non-zero functional φ on unitization of A, i. e., A♯, where φ 2 A∗. In this paper, we present a characterization for character Connes amenability of the second dual of Banach algebra A by using a homomorphism θ : A ! A∗∗ with w∗-dense range. Also, the relation among ker φ, ker φ♯ and left identities of Banach algebras A and A♯ is investigated. We generalize this concept to the projective tensor product of unital dual Banach algebras. Some results are also given.