Let 𝓐 be a Banach algebra and let ϕ be a nonzero character on 𝓐. We give some necessary and sufficient conditions for the left ϕ-contractibility of 𝓐 as well as several hereditary properties. We also study relations between homological properties of some Banach left 𝓐-modules, the left ϕ-contractibility and the right ϕ-amenability of 𝓐. Finally, we characterize the left character contractibility of various Banach algebras related to locally compact groups.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-3-1,
author = {Rasoul Nasr-Isfahani and Sima Soltani Renani},
title = {Character contractibility of Banach algebras and homological properties of Banach modules},
journal = {Studia Mathematica},
volume = {204},
year = {2011},
pages = {205-225},
zbl = {1236.46045},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-3-1}
}
Rasoul Nasr-Isfahani; Sima Soltani Renani. Character contractibility of Banach algebras and homological properties of Banach modules. Studia Mathematica, Tome 204 (2011) pp. 205-225. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm202-3-1/