Character contractibility of Banach algebras and homological properties of Banach modules

DOI10.4064/SM202-3-1zbMath1236.46045OpenAlexW1999473288MaRDI QIDQ3080030

Sima Soltani Renani, Rasoul Nasr-Isfahani

Publication date: 4 March 2011

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/fe381047bbeb2ac04581a97add4f87be72ed6487

zbMATH Keywords

injectivityBanach algebralocally compact groupprojectivitycharacter amenablecharacter contractibleBanach left module

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Means on groups, semigroups, etc.; amenable groups (43A07) Group algebras of locally compact groups (22D15)

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Metrically homological properties and some notions of amenability ⋮ Generalized notions of amenability for some classes of \(\ell^p\)-Munn algebras ⋮ Approximate biprojectivity of certain semigroup algebras ⋮ ON HOMOLOGICAL PROPERTIES FOR SOME MODULES OF UNIFORMLY CONTINUOUS FUNCTIONS OVER CONVOLUTION ALGEBRAS ⋮ Some homological properties of the enveloping dual Banach algebra ⋮ \(\varphi \)-biprojectivity of Banach algebras with applications to hypergroup algebras ⋮ Character contractibility and amenability of Banach algebras with applications to quantum groups ⋮ Unnamed Item ⋮ Character amenability of real Banach algebras ⋮ Homological properties of banach modules over abstract segal algebras ⋮ Approximate biflatness and approximate biprojectivity of some Banach algebras ⋮ Finite dimensional invariant subspaces for algebras of linear operators and amenable Banach algebras ⋮ Generalized notions of amenability for a class of matrix algebras ⋮ Strongly amenable involutive representations of involutive Banach algebras ⋮ Approximate Connes-biprojectivity of dual Banach algebras

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