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 -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 -semi-regular trees such that , where is an asymptotically dense set of positive integers.
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