Ellis enveloping semigroup for almost canonical model sets of an Euclidean space

Aujogue, Jean-Baptiste¹

¹Departamento de Matemáticas, Facultad de Ciencias, Universidad de Santiago de Chile, Aladema 3363, Estación Central, 8320000 Santiago, Chile

Algebraic and Geometric Topology, Tome 15 (2015) no. 4, pp. 2195-2237

Résumé

We consider certain point patterns of a Euclidean space and calculate the Ellis enveloping semigroup of their associated dynamical systems. The algebraic structure and the topology of the Ellis semigroup, as well as its action on the underlying space, are explicitly described. As an example, we treat the vertex pattern of the Amman–Beenker tiling of the plane.

Détail

DOI : 10.2140/agt.2015.15.2195

Keywords: model set, Ellis semigroup, tame systems

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