Dimension rigidity of lattices in semisimple Lie groups

2016/07/13 by Lacoste, Cyril
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1607.03652

Abstract

We prove that if Γ 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 equals its proper geometric dimension.

Related

• Geometric dimension of lattices in classical simple Lie groups
• Quasi-isometric embeddings of symmetric spaces and lattices: reducible case
• Sublinear Rigidity of Lattices in Semisimple Lie Groups
• Quasi-isometric embeddings of non-uniform lattices
• Volume invariant and maximal representations of discrete subgroups of Lie groups