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 -