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Equivariant covers for hyperbolic groups

Arthur Bartels, Wolfgang Lueck, Holger Reich

math.GTarXiv:math/0609685

Abstract

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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