Character rigidity for special linear groups

2013/03/16 by Peterson, Jesse, Thom, Andreas · 3 citations
#Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Group Theory (math.GR) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1303.4007

Abstract

In this paper we study characters on special linear groups SL_n(R), where R is either an infinite field or the localization of an order in a number field. We give several applications to the theory of measure preserving actions, operator-algebraic superrigidity, and almost homomorphisms.

Cited by

• On essential freeness of actions of mixed identity-free groups
• Non-uniform higher-rank lattices are character rigid
• Hyperlinearity, stability and asymptotic spectral gap of higher rank lattices

Related

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• Lusztig's conjecture for finite special linear groups
• Non-uniform higher-rank lattices are character rigid
• Semisimple characters for inner froms I: GL_n(D)
• Characters of the Grothendieck-Teichmueller group through rigidity of the Burau representation