26 citations · 62 across the 12 of their papers we have counts for
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math.OA2014
On the noncommutative geometry of tilings
Antoine Julien, Johannes Kellendonk, Jean Savinien
This is a chapter in an incoming book on aperiodic order. We review results about the topology, the dynamics, and the combinatorics of aperiodically ordered tilings obtained with t…
math.OA2014
Spectral triples for subshifts
Antoine Julien, Ian F. Putnam
We propose a construction for spectral triple on algebras associated with subshifts. One-dimensional subshifts provide concrete examples Z-actions on Cantor sets. The C*-algebra of…