On φ-Connes amenability of dual Banach algebras

الموضوعات :

A. Mahmoodi ¹ (Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran)

تاريخ الإرسال : 05 الإثنين , ذو الحجة, 1435 تاريخ التأكيد : 18 الأربعاء , صفر, 1436 تاريخ الإصدار : 09 الإثنين , صفر, 1436

الکلمات المفتاحية: Dual Banach algebra, φ-Connes amenability, φ-injectivity,

ملخص المقالة :

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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