Spectral triples for hyperbolic dynamical systems

Authors

Michael F. Whittaker, University of WollongongFollow

RIS ID

78250

Publication Details

Whittaker, M. F. (2013). Spectral triples for hyperbolic dynamical systems. Journal of Noncommutative Geometry, 7 (2), 563-582.

Abstract

Spectral triples are defined for C-algebras associated with hyperbolic dynam- ical 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.

Grant Number

ARC/DP1096001

Additional Grant Number

http://purl.org/au-research/grants/arc/DP1096001