Wavelets and Graph C ∗ -Algebras

@article{Farsi2017WaveletsAG,
  title={Wavelets and Graph C ∗ -Algebras},
  author={Carla Farsi and Elizabeth A. Gillaspy and Sooran Kang and Judith A. Packer},
  journal={arXiv: Operator Algebras},
  year={2017},
  pages={35-86}
}
Here we give an overview on the connection between wavelet theory and representation theory for graph C∗-algebras, including the higher-rank graph C∗-algebras of A. Kumjian and D. Pask. Many authors have studied different aspects of this connection over the last 20 years, and we begin this paper with a survey of the known results. We then discuss several new ways to generalize these results and obtain wavelets associated to representations of higher-rank graphs. In Farsi et al. (J Math Anal… 

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