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.
Location:Mathematical Sciences Building: 318