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)

تاریخ دریافت : 1393/07/07 تاریخ پذیرش : 1393/09/19 تاریخ انتشار : 1393/09/10

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.

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