Approximate biprojectivity of Banach algebras with respect to their character spaces

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^{۱}(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.

کلیدواژه ها:

φ-دوتصویری تقریبی ، φ-میانگین پذیری ، جبر سگال ، جبر نیم گروهی و جبر اندازه