Module extensions of dual Banach algebras

Abstract

In this paper we define the module extension dual Banach algebras and we use this Banach algebras to finding the relationship between $wea{k}^{\ast }-$continuous homomorphisms of dual Banach algebras and Connes-amenability. So we study the $wea{k}^{\ast }-$continuous derivations on module extension dual Banach algebras.

9 pages