Title of article :
Approximate biprojectivity of Banach algebras with respect to their character spaces
Author/Authors :
Sahami, A Department of Mathematics Faculty of Basic Sciences - Ilam University P.O. Box 69315-516, Ilam, Iran , Olfatian Gillan, B Department of Basic Sciences - Kermanshah University of Technology, Kermanshah, Iran , Omidi, M.R Department of Basic Sciences - Kermanshah University of Technology, Kermanshah, Iran
Abstract :
In this paper we introduce approximate -biprojective Banach algebras, where is a non-zero character. We show that for SIN groupG, the group algebra L1(G) is approximately -biprojective if and only if G is amenable, where is the augmentation character. Also we show that the Fourier algebra A(G) over a locally
compact G is always approximately -biprojective.
Keywords :
Approximate biprojectivity , amenability , Segal algebra , Semigroup algebra , Measure algebra
Journal title :
Wavelets and Linear Algebra
