Spectral triples for hyperbolic dynamical systems
Operator Algebras
2013-09-03 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1011.3292,
title = {Spectral triples for hyperbolic dynamical systems},
author = {Michael F. Whittaker},
journal= {arXiv preprint arXiv:1011.3292},
year = {2013}
}