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On homological notions of Banach algebra...
Sahami, A....

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On homological notions of Banach algebras related to a character by Sahami, A. ( Author )
Lemonjar Open Access
Australian National University
01-09-2023
In this paper, we countinue our work in \cite. We show that $L^{1}(G,w)$ is $\phi_{0}$-biprojective if and only if $G$ is compact, where $\phi_{0}$ is the augmentation character. We introduce the notions of character Johnson amenability and character Johnson contractibility for Banach algebras. We show that $\ell^{1}(S)$ is pseudo-amenable if and only if $\ell^{1}(S)$ is character Johnson-amenable, provided that $S$ is a uniformly locally finite band semigroup. We give some conditions whether $\phi$-biprojectivity ($\phi$-biflatness) of $\ell^{1}(S)$ implies the finiteness (amenability) of $S$, respectively.
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Article
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29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1401.2558
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