Trees are 1-Transfer
K-Theory and Homology
2019-05-23 v1 Algebraic Topology
Geometric Topology
Abstract
The K-theoretic Farrell-Jones isomorphism conjecture for a group ring 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 relies in the concept of an -transfer space endowed with a action. In this work, we give an explicit construction of a -transfer space.
Cite
@article{arxiv.1905.08889,
title = {Trees are 1-Transfer},
author = {Salvador Sierra-Murillo},
journal= {arXiv preprint arXiv:1905.08889},
year = {2019}
}