J. Aust. Math. Soc.  75 (2003), 57-68
Higher dimensional cohomology of weighted sequence algebras

A. Pourabbas
  Faculty of Mathematics and Computer Science
  Amir Kabir University
  424 Hafez Avenue
  Tehran 15914
  Iran
  arpabbas@aut.ac.ir


Abstract
It is well known that $c_0(\mathbb{Z})$ is amenable and so its global dimension is zero. In this paper we will investigate the cyclic and Hochschild cohomology of Banach algebra $c_0(\mathbb{Z},\omega^{-1})$ and its unitisation with coefficients in its dual space, where $\omega$ is a weight on $\mathbb{Z}$ which satisfies $\inf\{\omega(i)\}=0$. Moreover we show that the weak homological bi-dimension of $c_0(\mathbb{Z},\omega^{-1})$ is infinity.
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