Semi etale groupoids and applications
Operator Algebras
2009-08-29 v3 Dynamical Systems
Abstract
We introduce a class of locally compact Hausdorff groupoids and show how to associate C*-algebras to them in a way which generalizes the reduced C*-algebra of an 'etale groupoid. Focusing on criteria for simplicity and existence of Cartan subalgebras, we obtain results which both generalize and improve on the corresponding results from the 'etale case. In the second part we apply the results to dynamical systems and subshifts.
Keywords
Cite
@article{arxiv.0901.2221,
title = {Semi etale groupoids and applications},
author = {Klaus Thomsen},
journal= {arXiv preprint arXiv:0901.2221},
year = {2009}
}
Comments
32 pages, no figures Final version. To appear in Annales de l'Institute Fourier