English

Dimension rigidity of lattices in semisimple Lie groups

Algebraic Topology 2016-07-14 v1 Group Theory Geometric Topology

Abstract

We prove that if Γ\Gamma is a lattice in the group of isometries of a symmetric space of non-compact type without euclidean factors, then the virtual cohomological dimension of Γ\Gamma equals its proper geometric dimension.

Keywords

Cite

@article{arxiv.1607.03652,
  title  = {Dimension rigidity of lattices in semisimple Lie groups},
  author = {Cyril Lacoste},
  journal= {arXiv preprint arXiv:1607.03652},
  year   = {2016}
}