Lookup NU author(s): Dr Michael White
Full text for this publication is not currently held within this repository. Alternative links are provided below where available.
In this paper we deduce the existence of analytic structure in a neighbourhood of a maximal ideal M in the spectrum of a commutative Banach algebra, A, from homological assumptions. We assume properties of certain of the cohomology groups Hn(A, A/M), rather than the stronger conditions on the homological dimension of the maximal ideal the first author has considered in previous papers. The conclusion is correspondingly weaker: in the previous work one deduces the existence of a Gel'fand neighbourhood with analytic structure, here we deduce only the existence of a metric neighbourhood with analytic structure. The main method is to consider products of certain co-cycles to deduce facts about the symmetric second cohomology, which is known to be related to the deformation theory of algebras. © Glasgow Mathematical Journal Trust 2000.
Author(s): White MC; Pugach LI
Publication type: Article
Publication status: Published
Journal: Glasgow Mathematical Journal
Print publication date: 01/01/2000
ISSN (print): 0017-0895
ISSN (electronic): 1469-509X
Publisher: Cambridge University Press
Altmetrics provided by Altmetric