Character contractibility of Banach algebras and homological properties of Banach modules
Studia Mathematica, Tome 202 (2011) no. 3, pp. 205-225
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Let ${\cal A}$ be a Banach algebra and let $\phi$ be a nonzero
character on ${{\cal A}}$. We give some necessary and sufficient
conditions for the left $\phi$-contractibility of ${\cal A}$ as well
as several hereditary properties. We also study relations between
homological properties of some Banach left ${\cal A}$-modules,
the left $\phi$-contractibility and the right $\phi$-amenability of ${\cal
A}$. Finally, we characterize the left character contractibility of
various Banach algebras related to locally compact groups.
Keywords:
cal banach algebra phi nonzero character cal necessary sufficient conditions phi contractibility cal several hereditary properties study relations between homological properties banach cal modules phi contractibility right phi amenability nbsp cal finally characterize character contractibility various banach algebras related locally compact groups
Affiliations des auteurs :
Rasoul Nasr-Isfahani 1 ; Sima Soltani Renani 1
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author = {Rasoul Nasr-Isfahani and Sima Soltani Renani},
title = {Character contractibility of {Banach} algebras and homological properties of {Banach} modules},
journal = {Studia Mathematica},
pages = {205--225},
publisher = {mathdoc},
volume = {202},
number = {3},
year = {2011},
doi = {10.4064/sm202-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm202-3-1/}
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Rasoul Nasr-Isfahani; Sima Soltani Renani. Character contractibility of Banach algebras and homological properties of Banach modules. Studia Mathematica, Tome 202 (2011) no. 3, pp. 205-225. doi: 10.4064/sm202-3-1
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