%0 Journal Article
%T Approximate biprojectivity of Banach algebras with respect to their character spaces
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Sahami, Amir
%A Olfatian Gillan, Behrouz
%A Omidi, Mohamad Reza
%D 2022
%\ 03/01/2022
%V 8
%N 2
%P 19-30
%! Approximate biprojectivity of Banach algebras with respect to their character spaces
%K Approximate $phi$-biprojectivity
%K $phi$-amenability
%K Segal algebra
%K semigroup algebra
%K Measure algebra
%R 10.22072/wala.2022.526365.1322
%X 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.
%U https://wala.vru.ac.ir/article_251148_61e689f50dd2ac87f69fa0106de8c778.pdf