We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-7,
author = {Mehdi Nemati},
title = {Some homological properties of Banach algebras associated with locally compact groups},
journal = {Colloquium Mathematicae},
volume = {139},
year = {2015},
pages = {259-271},
zbl = {1332.46073},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-7}
}
Mehdi Nemati. Some homological properties of Banach algebras associated with locally compact groups. Colloquium Mathematicae, Tome 139 (2015) pp. 259-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-7/