On φ-Connes amenability of dual Banach algebras
محورهای موضوعی : Functional analysis
A. Mahmoodi
1
(Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran)
کلید واژه: Dual Banach algebra, φ-Connes amenability, φ-injectivity,
چکیده مقاله :
Let φ be a w-continuous homomorphism from a dual Banach algebra to C.The notion of φ-Connes amenability is studied and some characterizations is given. A typeof diagonal for dual Banach algebras is defined. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenabilityis equivalent to so-called φ-splitting of a certain short exact sequence.