C^*-rigidity of the Heisenberg group

2024/07/13 by Beltita, Ingrid, Beltita, Daniel · 2 citations
#17B30 #22E25 #FOS: Mathematics #Operator Algebras (math.OA) #Primary 22E27 #Representation Theory (math.RT) #Secondary 22D25

paper · doi:10.48550/arxiv.2407.09937

Abstract

We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group C^*-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.

Cited by

• On the C^*-algebras of linear dynamical systems
• Strong C^*-rigidity of the Heisenberg groups

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