Simple groups without lattices

@article{Bader2012SimpleGW,
  title={Simple groups without lattices},
  author={U. Bader and P. Caprace and T. Gelander and S. Mozes},
  journal={Bulletin of The London Mathematical Society},
  year={2012},
  volume={44},
  pages={55-67}
}
We show that the group of almost automorphisms of a d-regular tree does not admit lattices. As far as we know, this is the first such example among (compactly generated) simple locally compact groups. 

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