Homological and cohomological properties of certain ℓp-matrix algebras

In this paper, we study some homological and cohomological properties of Banach algebras for some ℓp-matrix algebras, say LMpI (C). We give enough and sufficient conditionthat LMpI (C) has a central approximate identity. Then we characterize pseudo-contractibility of LMpI (C). We prove that, for each non-epty index set I; LMpI (C) is pseudo-amenable. Also we turn our attention towards amenability, approximate biprojectivity and approximate biflatness of ℓp-upper triangular algebras.

کلیدواژه ها:

Amenability ، matrix algebras ، pseudo-contractible