ON MODULE CONNES AMENABILITY FOR MODULE EXTENSION OF DUAL BANACH ALGEBRAS

چکیده مقاله

Abstract. Let A be a dual Banach algebra with predual A∗ and
U is a Banach algebra such that A is a Banach U-bimodule via compatible
actions. Let Ω be a normal Banach A-bimodule with predual
Ω∗. In this paper, we develop the notions of module Connes
amenability for module (ψU , 0)-Connes amenability of module extension
of Banach algebra A ⊕ Ω, where ψU is a bounded module
algebraic homomorphism from A into itself