On a biprojective-like property of Banach algebras based on a closed ideal

A concept of approximate biprojectivity with respect to a closed ideal I is given for a Banach algebra A. We study group algebras and Fourier algebras under the concept of I-approximate biprojective. Some examples are given which show the differences of our new notion and classical notions of Banach homology.

Keywords:

Approximate biprojectivity , closed ideal , locally compact groups