Reconstructing a totally disconnected groupoid from its ample semigroup
Operator Algebras
2009-07-28 v1 Dynamical Systems
Abstract
We show that a (not necessarily Hausdorff) etale, second countable groupoid G with totally disconnected unit space may be reconstructed solely from the algebraic structure of its ample semigroup S. We also show that C*(G) possesses a universal property related to tight representations of S.
Keywords
Cite
@article{arxiv.0907.4530,
title = {Reconstructing a totally disconnected groupoid from its ample semigroup},
author = {Ruy Exel},
journal= {arXiv preprint arXiv:0907.4530},
year = {2009}
}
Comments
10 pages