Ideal Connes amenability of $$l^{1}$$-Munn algebras and its application to semigroup algebras

Minapoor, Ahmad

doi:10.1007/s00233-021-10175-0

Cited by 4 publications

(2 citation statements)

References 16 publications

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“…On the other hand, multiplication in A and A I is separately weak * -continuous and thus A I is a dual Banach algebra. For details on this and other important results, refer to [5,8,10,11] and the references therein.…”

Section: Introductionmentioning

confidence: 96%

A new class of ideal Connes amenability

Minapoor,

Rejali,

Mehdıpour

2024

Hacettepe Journal of Mathematics and Statistics

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In this paper, we introduce the notion of σ−ideally Connes amenable for dual Banach algebras and give some hereditary properties for this new notion. We also investigate σ−ideally Connes amenability of ℓ1(G,ω). We show that if ω is a diagonally bounded weight function on discrete group G and σ is isometrically isomorphism of ℓ1(G,ω), then ℓ1(G,ω) is σ−ideally Connes amenable and so it is ideally Connes amenable.

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Section: Introductionmentioning

confidence: 96%

A new class of ideal Connes amenability

Minapoor,

Rejali,

Mehdıpour

2024

Hacettepe Journal of Mathematics and Statistics

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“…For more study on module amenability, we can refer to [1,2,17,20]. In [14], Minapoor introduced ideal Connes amenability of l 1 -Munn algebras and its application to semigroup algebras. Also, ideal Connes amenability of Lau product of Banach algebras is studied by Minapoor et al [15].…”

Section: Introductionmentioning

confidence: 99%

A survey on χ-module Connes Amenability of Semigroup Algebras

Tamimi¹,

Ghaffari

2023

Preprint

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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 l1(S). Also, we show that if l1(S) as a Banach module over l1(E) has an id-module normal, virtual diagonal then it is id-module Connes amenable. It is obtained other characterizations for χ- module Connes amenability of l1(S).

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On Ideal Amenability of $$\ell ^1$$-Munn Banach Algebras

Habibian

Mirzasani

2022

Complex Anal. Oper. Theory

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Ideal Connes amenability of $$l^{1}$$-Munn algebras and its application to semigroup algebras

Cited by 4 publications

References 16 publications

A new class of ideal Connes amenability

A new class of ideal Connes amenability

A survey on χ-module Connes Amenability of Semigroup Algebras

On Ideal Amenability of $$\ell ^1$$-Munn Banach Algebras

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