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    Localness of A (Ψ) Algebras


    Allan, G.R. and Kakiro, G. and O'Farrell, A.G. and Watson, R.O. (2001) Localness of A (Ψ) Algebras. Mathematical Proceedings of the Royal Irish Academy, 101A (1). pp. 61-70. ISSN 1393-7197

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    Abstract

    Let d and r be positive integers. Given Ψ = (v/₁,…,v/ᵣ) ∈ C∞ (Rᵈ,Rr), we consider the unital algebra R[Ψ] = R[v/₁,…,v/ᵣ] generated by {v/₁,…,v/ᵣ}, and its closure A(Ψ) in C∞ topology. We identify the space of closed maximal ideals of A(Ψ), we establish that it is a regular algebra, and we show that the approximation problem, to provide an explicit description of Ψ, we establish that it is a regular algebra, and we show that the approximation problem, to provide an explicit description of Ψ, is local to the level sets of Ψ.

    Item Type: Article
    Additional Information: This is the preprint version of the published article.
    Keywords: Localness; A(psi); Algebras;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 6988
    Depositing User: Prof. Anthony O'Farrell
    Date Deposited: 25 Feb 2016 12:16
    Journal or Publication Title: Mathematical Proceedings of the Royal Irish Academy
    Publisher: Royal Irish Academy
    Refereed: Yes
    URI:

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