$C^*$-rigidity of the Heisenberg group
Operator Algebras
2024-10-01 v2 Representation Theory
Abstract
We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group -algebras. The main step of the proof is a characterization of the nilpotent Lie groups among the solvable Lie groups solely in terms of topological properties of their coadjoint orbits.
Cite
@article{arxiv.2407.09937,
title = {$C^*$-rigidity of the Heisenberg group},
author = {Ingrid Beltita and Daniel Beltita},
journal= {arXiv preprint arXiv:2407.09937},
year = {2024}
}
Comments
13 pages, accepted for publication in Publ. RIMS