English

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

Dynamical Systems 2015-09-30 v3

Abstract

We consider certain point patterns of an 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.

Keywords

Cite

@article{arxiv.1305.0879,
  title  = {Ellis enveloping semigroup for almost canonical model sets of an Euclidean space},
  author = {Jean-Baptiste Aujogue},
  journal= {arXiv preprint arXiv:1305.0879},
  year   = {2015}
}

Comments

44 pages. This version is the one published by Algebraic & Geometric Topology after revisions