English

Radu groups acting on trees are CCR

Group Theory 2024-11-20 v1 Representation Theory

Abstract

We classify the irreducible unitary representations of closed simple groups of automorphisms of trees acting 22-transitively on the boundary and whose local action at every vertex contains the alternating group. As an application, we confirm Claudio Nebbia's CCR conjecture on trees for (d0,d1)(d_0,d_1)-semi-regular trees such that d0,d1Θd_0,d_1\in \Theta, where Θ\Theta is an asymptotically dense set of positive integers.

Keywords

Cite

@article{arxiv.2203.04189,
  title  = {Radu groups acting on trees are CCR},
  author = {Lancelot Semal},
  journal= {arXiv preprint arXiv:2203.04189},
  year   = {2024}
}

Comments

46 pages, 8 figures

R2 v1 2026-06-24T10:06:13.236Z