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On the Farrell-Jones Conjecture for algebraic K-theory of spaces: the Farrell-Hsiang method

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Author(s): Mark Ullmann, Christoph Winges

Publication date: 2015-09-24

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Abstract

We prove the Farrell-Jones Conjecture for algebraic K-theory of spaces for virtually poly-Z-groups. For this, we transfer the 'Farrell-Hsiang method' from the linear case to categories of equivariant, controlled retractive spaces.

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Most cited references 13

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Isomorphism conjectures in algebraic $K$-theory

F. Farrell, L Jones (1993)

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The K-theoretic Farrell-Jones Conjecture for hyperbolic groups

Holger Reich, Wolfgang Lueck, Arthur Bartels (2007)

We prove the K-theoretic Farrell-Jones Conjecture for hyperbolic groups with (twisted) coefficients in any associative ring with unit.

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The $K$-theoretic Farrell-Jones conjecture for CAT(0)-groups

Christian Wegner (2012)

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ArXiv ID:: 1509.07363

ScienceOpen disciplines: Geometry & Topology

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ScienceOpen disciplines: Geometry & Topology

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