The infinite dimensional hyperbolic space ℍ^∞ does not have property A

Abstract

The author constructs a sequence of cubes in the infinitely dimensional hyperbolic space ℍ^∞ which is equi-coarsely equivalent to ℤ₂ ⁿ. As a corollary, it is proved that the infinitely dimensional hyperbolic space ℍ^∞ does not have property A.

Keywords

Coarse geometry / Property A / Hyperbolic space

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