Generalized biprojectivity and biflatness of abstract Segal algebras

Biflatness and Pseudo-amenability of Segal Algebras

We investigate generalized amenability and biflatness properties of various (operator) Segal algebras in both the group algebra, L (G), and the Fourier algebra, A(G), of a locally compact group, G. Barry Johnson introduced the important concept of amenability for Banach algebras in [20], where he proved, among many other things, that a group algebra L1(G) is amenable precisely when the locally ...

Biflatness and biprojectivity of Lau product of Banach algebras

Amonge other things we give sufficient and necessary conditions for the Lau product of Banachalgebras to be biflat or biprojective.

Biflatness and biprojectivity of the Fourier algebra

We show that the biflatness—in the sense of A. Ya. Helemskĭı—of the Fourier algebra A(G) of a locally compact groupG forcesG to either have an abelian subgroup of finite index or to be non-amenable without containing F2 as a closed subgroup. An analogous dichotomy is obtained for biprojectivity.

biflatness and biprojectivity of lau product of banach algebras

amonge other things we give sufficient and necessary conditions for the lau product of banachalgebras to be biflat or biprojective.

Biflatness and Biprojectivitiy of Triangular Banach Algebras