Equivariant covers for hyperbolic groups

Mathematics – Geometric Topology

Scientific paper

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final version, to appear in Geometry & Topology

Scientific paper

We prove an equivariant version of the fact that word-hyperbolic groups have
finite asymptotic dimension. This is important in connection with our
forthcoming proof of the Farrell-Jones conjecture in algebraic K-theory for
every word-hyperbolic group G and every coefficient ring R.

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