XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Pierre-Henry Collin

C*-algebras of Penrose type hyperbolic tilings

One can construct an euclidian tilings using substitutions. I will explain how you use substitutions to construct tilings on Poincaré half-plane. Using canonical actions on tilings, one can then introduce C*-algebras of tilings space. I will then explain how the hyperbolic situation is related to the euclidian one.

Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok

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