Some examples of factor groupoids
Operator Algebras
2023-05-02 v3
Abstract
We examine two classes of examples of Hausdorff \'etale factor groupoids; one comes from taking a quotient space of the unit space of an AF-groupoid, and the other comes from certain nonhomogeneous extensions of Cantor minimal systems considered by Robin Deeley, Ian Putnam, and Karen Strung. The reduced C-algebras of the factor groupoids are classifiable in the Elliott scheme, and we describe their -theory and traces.
Keywords
Cite
@article{arxiv.2204.13888,
title = {Some examples of factor groupoids},
author = {Mitch Haslehurst},
journal= {arXiv preprint arXiv:2204.13888},
year = {2023}
}
Comments
Final version to appear in the Journal of Operator Theory; error in proofs involving C-extension property corrected