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Paper Information

Journal:   JOURNAL OF LINEAR AND TOPOLOGICAL ALGEBRA   2014 , Volume 3 , Number 4; Page(s) 211 To 217.
 
Paper: 

ON ϕ-CONNES AMENABILITY OF DUAL BANACH ALGEBRAS

 
 
Author(s):  MAHMOODI A.*
 
* DEPARTMENT OF MATHEMATICS, ISLAMIC AZAD UNIVERSITY, CENTRAL TEHRAN BRANCH, TEHRAN, IRAN
 
Abstract: 

Let j be a w*-continuous homomorphism from a dual Banach algebra to C. The notion of j-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 j-Connes amenability. It is also shown that j-Connes amenability is equivalent to so-called j-splitting of a certain short exact sequence.

 
Keyword(s): BANACH ALGEBRA, ϕ-CONNES AMENABILITY, ϕ-INJECTIVITY
 
References: 
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