Almost-periodic algebras and their automorphisms
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The problem concerning the form of the maximal ideal space of an almost-periodic algebra formed by functions on ℝ m 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 ℝ n generating automorphisms of the algebra are described. Several specific examples are given and a relation to the theory of quasicrystals is indicated.
Keywordsmaximal ideal space almost-periodic algebra dual group automorphism quasicrystal
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