# Preferred traces on C⁎-algebras of self-similar groupoids arising as fixed points

@article{Claramunt2017PreferredTO,
title={Preferred traces on C⁎-algebras of self-similar groupoids arising as fixed points},
author={Joan Claramunt and Aidan Sims},
journal={Journal of Mathematical Analysis and Applications},
year={2017}
}
• Published 1 December 2017
• Mathematics
• Journal of Mathematical Analysis and Applications
3 Citations
• Mathematics
• 2019
We introduce the notion of a self-similar action of a groupoid G on a finite higher-rank graph. To these actions we associate a compactly aligned product system of Hilbert bimodules, and we show that
• Mathematics, Computer Science
International Mathematics Research Notices
• 2019
The main results generalize the recent work of Exel and Pardo on self-similar graphs and characterize the simplicity of ${{\mathcal{O}}}_{G,\Lambda }$ in terms of the underlying action, and prove that, whenever the action is simple, there is a dichotomy.
• Mathematics
Transactions of the American Mathematical Society
• 2020
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