Cuntz–Krieger Algebras and Wavelets on Fractals

By Matilde Marcolli, A. Paolucci. 2009

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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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/be23a9dc864651714856649966c4af146e87f57f