Email this article Almost-periodic algebras and their automorphisms
- Authors: Antonevich A.B.1,2, Buzulutskaya (Glaz) A.N.2
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Affiliations:
- University of Bialystok
- Belarusian State University
- Issue: Vol 102, No 5-6 (2017)
- Pages: 610-622
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/150241
- DOI: https://doi.org/10.1134/S0001434617110025
- ID: 150241
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Abstract
The problem concerning the form of the maximal ideal space of an almost-periodic algebra formed by functions on ℝm is considered. It is shown that this space is homeomorphic to the topological group dual to the group of frequencies of the algebra under consideration. In the case of a quasiperiodic algebra, the mappings of ℝn generating automorphisms of the algebra are described. Several specific examples are given and a relation to the theory of quasicrystals is indicated.
About the authors
A. B. Antonevich
University of Bialystok; Belarusian State University
Author for correspondence.
Email: antonevich@bsu.by
Poland, Bialystok; Minsk
A. N. Buzulutskaya (Glaz)
Belarusian State University
Email: antonevich@bsu.by
Belarus, Minsk
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