TY - JOUR ID - 251148 TI - Approximate biprojectivity of Banach algebras with respect to their character spaces JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Sahami, Amir AU - Olfatian Gillan, Behrouz AU - Omidi, Mohamad Reza AD - Department of Mathematics Faculty of Basic Sciences Ilam University P.O. Box 69315-516 Ilam, Iran AD - Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran Y1 - 2022 PY - 2022 VL - 8 IS - 2 SP - 19 EP - 30 KW - Approximate $phi$-biprojectivity KW - $phi$-amenability KW - Segal algebra KW - semigroup algebra KW - Measure algebra DO - 10.22072/wala.2022.526365.1322 N2 -     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. UR - https://wala.vru.ac.ir/article_251148.html L1 - https://wala.vru.ac.ir/article_251148_61e689f50dd2ac87f69fa0106de8c778.pdf ER -