Wavelets associated to representations of graph C*-algebras
Professor Judith Packer
University of Colorado Boulder
Abstract: Here we discuss notions of wavelets defined on $L^2$-spaces for fractal-like sets associated to certain representations of graph C*-algebras and higher-rank graph C*-algebras, where the graphs in question are finite and strongly connected. Generalizing work of M. Marcolli and A. Paolucci, we obtain wavelets using the isometries and partial isometries generating the C*-algebras in question, coming from the graph relations. We also discuss some related spectral triples. This work is joint with C. Farsi, E. Gillaspy, A. Julien, and S. Kang.
Read More