Cuntz-Krieger algebras and wavelets on fractals
Functional Analysis
2009-08-06 v1
Abstract
We consider representations of Cuntz--Krieger algebras on the Hilbert space of square integrable functions on the limit set, identified with a Cantor set in the unit interval. We use these representations and the associated Perron-Frobenius and Ruelle operators to construct families of wavelets on these Cantor sets.
Keywords
Cite
@article{arxiv.0908.0596,
title = {Cuntz-Krieger algebras and wavelets on fractals},
author = {Matilde Marcolli and Anna Maria Paolucci},
journal= {arXiv preprint arXiv:0908.0596},
year = {2009}
}
Comments
37 pages, LaTeX