49 citations · 210 across the 23 of their papers we have counts for
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Spectral triples for hyperbolic dynamical systems
Michael F. Whittaker
Spectral triples are defined for C*-algebras associated with hyperbolic dynamical systems known as Smale spaces. The spectral dimension of one of these spectral triples is shown to…
C*-algebras of tilings with infinite rotational symmetry
Michael F. Whittaker
A tiling with infinite rotational symmetry, such as the Conway-Radin Pinwheel Tiling, gives rise to a topological dynamical system to which an étale equivalence relation is associa…
K-Theoretic Duality for Hyperbolic Dynamical Systems
Jerome Kaminker, Ian F. Putnam, Michael F. Whittaker
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previou…
A fractal version of the pinwheel tiling
Natalie Priebe Frank, Michael F. Whittaker
We introduce a fractal version of the pinwheel substitution tiling. There are thirteen basic prototiles, all of which have fractal boundaries. These tiles, along with their reflect…