Spectral triples and Gibbs measures for expanding maps on Cantor sets
Richard Sharp
University of Manchester, UK
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Abstract
Let be an expanding map on a Cantor set. For each suitably normalized Hölder continuous potential, we construct a spectral triple from which one may recover the associated Gibbs measure as a noncommutative measure.
Cite this article
Richard Sharp, Spectral triples and Gibbs measures for expanding maps on Cantor sets . J. Noncommut. Geom. 6 (2012), no. 4, pp. 801–817
DOI 10.4171/JNCG/106