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arxiv: 1509.07363 · v2 · pith:YK4DNWMQnew · submitted 2015-09-24 · 🧮 math.KT · math.AT· math.GT

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

classification 🧮 math.KT math.ATmath.GT
keywords spacesalgebraicconjecturefarrell-hsiangfarrell-jonesk-theorymethodcase
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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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