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Information Journal Paper

Title

φ-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS

Pages

  68-82

Abstract

 In this paper we define φ-Connes module amenability of a dual Banach algebra A where φ is a bounded wk∗-module homomorphism from A to A. We are mainly concerned with the study of φ-module normal virtual diagonals. We show that if S is a weakly cancellative inverse semigroup with subsemigroup E of idempotents, χ is a bounded wk∗-module homomorphism from l1(S) to l1(S) and l1(S) as a Banach module over l1(E) is χ-Connes module amenable, then it has a χ-module normal virtual diagonal. In the case χ =id, the converse holds

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    APA: Copy

    GHAFFARI, ALI, Javadi, Samaneh, & Tamimi, Ebrahim. (2020). φ-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS. JOURNAL OF ALGEBRAIC SYSTEMS, 8(1 ), 68-82. SID. https://sid.ir/paper/749325/en

    Vancouver: Copy

    GHAFFARI ALI, Javadi Samaneh, Tamimi Ebrahim. φ-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2020;8(1 ):68-82. Available from: https://sid.ir/paper/749325/en

    IEEE: Copy

    ALI GHAFFARI, Samaneh Javadi, and Ebrahim Tamimi, “φ-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 8, no. 1 , pp. 68–82, 2020, [Online]. Available: https://sid.ir/paper/749325/en

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