1
Department of Mathematics, Velayat University, Iranshahr, Iran
2
Department of Mathematics, University of Semnan, P.O. Box 35195-363, Semnan, Iran
10.22044/jas.2023.12900.1702
Abstract
We shall study the χ-module Connes amenability of a semigroup algebra l^1(S),where χ is a bounded module homomorphism from l^1(S) to l^1(S) that is w^∗-continuous and S is an inverse weakly cancellative semigroup with subsemigroup E of idempotents. We are mainly concerned with the study of χ-module normal, virtual diagonals. We characterize the χ- module Connes amenability of a semigroup algebra l^1(S). Also, we show that if l^1(S) as a Banach module over l^1(E) has an id-module normal, virtual diagonal then it is id-module Connes amenable. Other characterizations of χ- module Connes amenability of l^1(S) is presented.
Tamimi, E., & Ghaffari, A. (2024). A SURVEY ON χ-MODULE CONNES AMENABILITY OF SEMIGROUP ALGEBRAS. Journal of Algebraic Systems, (), -. doi: 10.22044/jas.2023.12900.1702
MLA
Ebrahim Tamimi; Ali Ghaffari. "A SURVEY ON χ-MODULE CONNES AMENABILITY OF SEMIGROUP ALGEBRAS". Journal of Algebraic Systems, , , 2024, -. doi: 10.22044/jas.2023.12900.1702
HARVARD
Tamimi, E., Ghaffari, A. (2024). 'A SURVEY ON χ-MODULE CONNES AMENABILITY OF SEMIGROUP ALGEBRAS', Journal of Algebraic Systems, (), pp. -. doi: 10.22044/jas.2023.12900.1702
VANCOUVER
Tamimi, E., Ghaffari, A. A SURVEY ON χ-MODULE CONNES AMENABILITY OF SEMIGROUP ALGEBRAS. Journal of Algebraic Systems, 2024; (): -. doi: 10.22044/jas.2023.12900.1702
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