The regular representation of Neretin groups is factorial
Operator Algebras
2025-07-01 v1 Group Theory
Abstract
We show that the left regular representation of Neretin groups is factorial, providing the first example of a non-discrete simple group with this property. This is based on a new criterion of factoriality for totally disconnected groups. For groups G satisfying the criterion, we determine the type of the factor L(G) and derive factoriality results for crossed products associated to G-actions on von Neumann algebras.
Cite
@article{arxiv.2506.24029,
title = {The regular representation of Neretin groups is factorial},
author = {Basile Morando},
journal= {arXiv preprint arXiv:2506.24029},
year = {2025}
}
Comments
22 pages; Comments welcome!