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math.MG2014
On coarse geometric aspects of the Hilbert geometry
Ryosuke Mineyama, Shin-ichi Oguni
We begin a coarse geometric study of Hilbert geometry. Actually we give a necessary and sufficient condition for the natural boundary of a Hilbert geometry to be a corona, which is…
math.KT2014★ 14 cited
Coronae of product spaces and the Coarse Baum-Connes conjecture
Tomohiro Fukaya, Shin-ichi Oguni
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…