On ideal amenability of \(\ell^1\)-Munn Banach algebras

DOI10.1007/S11785-022-01311-XOpenAlexW4311949560MaRDI QIDQ2677746

Fereidoun Habibian, Najmeh Mirzasani

Publication date: 6 January 2023

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01311-x

zbMATH Keywords

Morita equivalencesemigroup algebrasideal amenability\(\ell^1\)-Munn Banach algebra

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• First order cohomology of \(\ell^1\)-Munn algebras and certain semigroup algebras
• Banach algebra structure and amenability of a class of matrix algebras with applications
• Derivations into duals of ideals of Banach algebras
• Ideals and representations of certain semigroup algebras
• Morita equivalence for Banach algebras
• Ideal Connes amenability of \(l^1\)-Munn algebras and its application to semigroup algebras
• Banach algebras on semigroups and on their compactifications
• Duals and topological center of a class of matrix algebras with applications

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