On the Noncommutative Geometry of Tilings
We discuss constructions of spectral triples for spaces which are related to subshifts or aperiodic tilings. These spectral triples give rise to distance functions, zeta functions, Laplace operators and K-homology classes. We investigate these objects, and relate their properties to standard notions in tiling theory.
KeywordsSpectral triples subshifts tilings
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