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.
Cite this article
Michael F. Whittaker, Spectral triples for hyperbolic dynamical systems. J. Noncommut. Geom. 7 (2013), no. 2, pp. 563–582DOI 10.4171/JNCG/127