Spectral triples for hyperbolic dynamical systems
classification
🧮 math.OA
math.DS
keywords
spectraltriplesdynamicalhyperbolicsmalesystemsalgebrasassociated
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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 recover the topological entropy of the Smale space.
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