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arXiv · 1905.08889

Trees are 1-Transfer

Salvador Sierra-Murillo
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Abstract

The K-theoretic Farrell-Jones isomorphism conjecture for a group ring $R[G]$ has been proved for several groups. The toolbox for proving the Farrell-Jones conjecture for a given group depends on some geometric properties of the group as it is the case of hyperbolic groups. The technique used to prove it for hyperbolic groups $G$ relies in the concept of an $N$-transfer space endowed with a $G$ action. In this work, we give an explicit construction of a $1$-transfer space.

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Salvador Sierra-Murillo. 2019-05-21. Trees are 1-Transfer. https://arxiv.org/abs/1905.08889

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