Strong $C^*$-rigidity of the Heisenberg groups
Representation Theory
2025-11-11 v2 Operator Algebras
Abstract
We prove a strong rigidity property of the Heisenberg groups, that is, they can be distinguished from any other 1-connected Lie groups via their unitary dual spaces, in particular via the Morita equivalence class of their group -algebras.
Keywords
Cite
@article{arxiv.2508.08904,
title = {Strong $C^*$-rigidity of the Heisenberg groups},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:2508.08904},
year = {2025}
}
Comments
28 pages