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Higher Dimensional Cohomology of Weighted Sequence Algebras

Part of: Methods of category theory in functional analysis Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

A. Pourabbas
A. Pourabbas
Affiliation:
Faculty of Mathematics and Computer Science Amir Kabir University424 Hafez Avenue Tehran 15914Iran e-mail: [email protected]
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Abstract

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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.

MSC classification

Secondary: 46M20: Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) 43A15: $L^p$-spaces and other function spaces on groups, semigroups, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 75 , Issue 1 , August 2003 , pp. 57 - 68
Copyright
Copyright © Australian Mathematical Society 2003

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