Cuntz-Krieger algebras and wavelets on fractals
arXiv:0908.0596
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.
37 pages, LaTeX
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