Coronae of product spaces and the Coarse Baum-Connes conjecture
K-Theory and Homology
2024-02-20 v1 Metric Geometry
Abstract
We study the coarse Baum-Connes conjecture for product spaces and product groups. We show that a product of CAT(0) groups, polycyclic groups and relatively hyperbolic groups which satisfy some assumptions on peripheral subgroups, satisfies the coarse Baum-Connes conjecture. For this purpose, we construct and analyze an appropriate compactification and its boundary, "corona", of a product of proper metric spaces.
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Cite
@article{arxiv.1404.2770,
title = {Coronae of product spaces and the Coarse Baum-Connes conjecture},
author = {Tomohiro Fukaya and Shin-ichi Oguni},
journal= {arXiv preprint arXiv:1404.2770},
year = {2024}
}
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35 pages