1.University of Bialystok,Bialystok,Poland;2.Belarusian State University,Minsk,Belarus
Abstract:
The problem concerning the form of the maximal ideal space of an almost-periodic algebra formed by functions on ?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 ?n generating automorphisms of the algebra are described. Several specific examples are given and a relation to the theory of quasicrystals is indicated.