JournalsjncgVol. 7, No. 2pp. 563–582

Spectral triples for hyperbolic dynamical systems

  • Michael F. Whittaker

    University of Wollongong, Australia
Spectral triples for hyperbolic dynamical systems cover
Download PDF

Abstract

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. 563–582

DOI 10.4171/JNCG/127