Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds

Abstract

We study low-dimensional representations of matrix groups over general rings, by considering group actions on CAT(0) spaces, spheres and acyclic manifolds.

References in corpus (3)

• Property $(T)$ for noncommutative universal lattices
• Property (T) for groups graded by root systems
• The rhombic dodecahedron and semisimple actions of Aut(F_n) on CAT(0) spaces

Cited by in corpus (7)

• Euler characteristics and actions of automorphism groups of free groups
• Symmetries of flat manifolds, Jordan property and the general Zimmer program
• Property FW, differentiable structures, and smoothability of singular actions
• The action of matrix groups on aspherical manifolds
• Matrix group actions on product of spheres and Zimmer's program
• A survey of topological Zimmer's program
• Rigidity of matrix group actions on CAT(0) spaces with possible parabolic isometries and uniquely arcwise connected spaces