In the present paper, we consider BIFLATNESS of certain classes of SEMIGROUP
ALGEBRAS. Indeed, we give a necessary condition for a band semigroup algebra to be …

The main objective of this paper is to determine the simplicial and cyclic cohomology groups
of the Cuntz semigroup algebra ℓ1 (Sm). We also determine the simplicial and cyclic …

We study the relation between the module and Hochschild cohomology groups of Banach
algebras. We show that, for every commutative Banach AA-bimodule X and every k∈ N, the …

We consider the unital Banach algebra(Z+) and prove directly, without using cyclic
cohomology, that the simplicial cohomology groups Hn((Z+),(Z+)∗) vanish for all n. is …

We consider the unital Banach algebra ℓ1 (Z+) and prove directly, without using cyclic
cohomology as was done previously [5], that the simplicial cohomology groups Hn (ℓ1 (Z+) …

We revisit the old result that biflat Banach algebras have the same cyclic cohomology as
$\mathbb C $, and obtain a quantitative variant (which is needed in forthcoming joint work of …

We consider the Banach algebra l1 (S), with convolution, where S is a band semigroup. We
prove directly, without using the cyclic cohomology, that the simplicial cohomology groups …

In this paper, we consider the path semigroup ℓ 1-algebra for a quiver and the inverse
semigroup ℓ 1-algebra of a quiver, the latter of which can be used in the construction of …

It is known that some discrete semigroup algebras have trivial continuous simplicial
cohomology, at least in high dimensions. The aim of this work is to investigate the situation …

Résumé Sans entrer dans les détails et technicalités de l'homologie et de la cohomologie,
cet article pose les bases théoriques permettant une introduction à ce sujet. Entre autre …