φ-SPLITTING AND φ-CONNES MODULE AMENABILITY IN BANACH ALGEBS

Authorsابراهیم تمیمی
Conference Title55-امین کنفرانس ریاضی ایران
Holding Date of Conference1403/05/25
Event Placeمشهد
Presented byولایت
Page number۴۰۴-۴۰۷
PresentationPOSTER
Conference LevelNational Conferences

Abstract

In present paper, we characterize φ-Connes module
amenability of a Banach algebra in terms of φ-splitting of the short
exact sequence, where φ is continuous bounded module homomorphism
whit respect to ω∗-topology on mentioned Banach algebra.
Also, we generalize this to module product of two Banach algebras.

tags: φ-σwc virtual diagonal, φ-Connes module amenability, Σ φ-splits, short exact sequence, φ-derivatio