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arXiv · 2508.08904

Strong $C^*$-rigidity of the Heisenberg groups

Ingrid Beltita·Daniel Beltita
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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 $C^*$-algebras.

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Ingrid Beltita, Daniel Beltita. 2025-08-12. Strong $C^*$-rigidity of the Heisenberg groups. https://arxiv.org/abs/2508.08904

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