Higher Dimensional Cohomology of Weighted Sequence Algebras

Journal of the Australian Mathematical Society

A. Pourabbas¹ 

关键词: primary 46M20;    43A15;   

DOI  :  10.1017/S1446788700003475

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

It is well known that c0(Z) is amenable and so its global dimension is zero. In this paper we will investigate the cyclic and Hochschild cohomology of Banach algebra c0 (Z, ω-1) and its unitisation with coefficients in its dual space, where ω is a weight on Z which satisfies inf {ω(i)} = 0.Moreover we show that the weak homological bi-dimension of c0 (Z, ω-1) is infinity.

【 授权许可】

Unknown