Admissible Higson-Roe sequences for transformation groupoids
Operator Algebras
2025-05-16 v2
Abstract
Given a finitely generated discrete group {\Gamma}, we construct for any admissible crossed product completion and for any metrizable finite dimensional compact {\Gamma}-space X, a universal Higson-Roe six-term exact sequence for the transformation groupoid X\rtimes {\Gamma}. In particular, we generalize the maximal Higson- Roe sequence to such groupoids. In the case where the groupoid X\rtimes {\Gamma} satisfies the rectified Baum-Connes conjecture, this yields some rigidity consequences.
Keywords
Cite
@article{arxiv.2411.00182,
title = {Admissible Higson-Roe sequences for transformation groupoids},
author = {Moulay-Tahar Benameur and Victor Moulard},
journal= {arXiv preprint arXiv:2411.00182},
year = {2025}
}