Character Connes amenability of dual Banach algebras
We study the notion of character Connes amenability of dual Banach algebras and show that if is an Arens regular Banach algebra, then is character Connes amenable if and only if is character amenable, which will resolve positively Runde’s problem for this concept of amenability. We then characterize character Connes amenability of various dual Banach algebras related to locally compact groups. We also investigate character Connes amenability of Lau product and module extension of Banach algebras....