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

Aujogue, Jean-Baptiste

doi:10.2140/agt.2015.15.2195

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

Jean-Baptiste Aujogue

Algebraic & Geometric Topology 15 (2015) 2195–2237

DOI: 10.2140/agt.2015.15.2195

Abstract

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.

Keywords

model set, Ellis semigroup, tame systems

Mathematical Subject Classification 2000

Primary: 37B50, 37B05

References

Publication

Received: 6 May 2014

Revised: 28 November 2014

Accepted: 4 December 2014

Published: 10 September 2015

Authors

Jean-Baptiste Aujogue
Departamento de Matemáticas Facultad de Ciencias Universidad de Santiago de Chile Aladema 3363 Estación Central 8320000 Santiago Chile

Volume 15, issue 4 (2015)