Biprojectivity and Biflatness for Convolution Algebras of Nuclear Operators

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

Biflatness of certain semigroup algebras

In the present paper, we consider biflatness of certain classes of semigroupalgebras. Indeed, we give a necessary condition for a band semigroup algebra to bebiflat and show that this condition is not sufficient. Also, for a certain class of inversesemigroups S, we show that the biflatness of ell^{1}(S)^{primeprime} is equivalent to the biprojectivity of ell^{1}(S).