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Title
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Approximate biprojectivity of Banach algebras with respect to their character spaces
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Type
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JournalPaper
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Keywords
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Approximate $phi$-biprojectivity, $phi$-amenability, Segal algebra, Semigroup algebra, Measure algebra
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Abstract
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In this paper we introduce approximate $\phi$-biprojective Banach algebras, where $\phi$ is a non-zero character. We show that for SIN group $G$, the group algebra $L^{1}(G)$ is approximately $\phi$-biprojective if and only if $G$ is amenable, where $\phi$ is the augmentation character. Also we show that the Fourier algebra $A(G)$ over a locally compact $G$ is always approximately $\phi$-biprojective.
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Researchers
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Mohammad Reza Omidi (Third Researcher), Behrooz Olfatian Gillan (Second Researcher), Amir Sahami (First Researcher)
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