On φ-Connes amenability of dual Banach algebras

Journal of Linear and Topological Algebra

مقاله 4، دوره 03، شماره 04، اسفند 2014، صفحه 211-217   

نویسنده

A. Mahmoodi^*

Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran

چکیده

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 type of 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 amenability is equivalent to so-called φ-splitting of a certain short exact sequence.

کلیدواژه‌ها

Dual Banach algebra؛ φ-Connes amenability؛ φ-injectivity

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