Strong convergence of unitary and permutation representations of discrete groups

2025/03/27 by Magee, Michael · 5 citations
#05C80 20B05 22D10 20F36 20F65 46L54 58J50 #FOS: Mathematics #Group Theory (math.GR) #Operator Algebras (math.OA) #Representation Theory (math.RT) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2503.21619

Abstract

We survey a research program on the strong convergence of unitary and permutation representations of discrete groups. We also take the opportunity to flesh out details that have not appeared elsewhere.

Cited by

• Uniform amenability at infinity
• Apollonian random manifolds and their bass notes
• An RDT based confirmation of Lehner's formula for Kronecker-Gaussian matrices
• Strong convergence: a short survey
• Sparse graphs and their Benjamini-Schramm limits: a spectral tour

Related

• A new approach to strong convergence II. The classical ensembles
• Strong convergence: a short survey
• Strongly convergent unitary representations of limit groups
• Tensor product Markov chains and Weil representations
• Convergence rates of random walk on irreducible representations of finite groups