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arXiv · 1404.2770

Coronae of product spaces and the Coarse Baum-Connes conjecture

Tomohiro Fukaya·Shin-ichi Oguni
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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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Tomohiro Fukaya, Shin-ichi Oguni. 2014-04-10. Coronae of product spaces and the Coarse Baum-Connes conjecture. https://doi.org/10.1016/j.aim.2015.01.022

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