2 problems

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Lipman–Rosenberg conjecture on Dixmier–Douady invariants of nilpotent Lie groups
Let $\mathsf{G}$ be a connected nilpotent Lie group, and let $A$ be a continuous trace subquotient of $C^*(\mathsf{G})$ , meaning a subquotient whose spectrum…
Conjectureopendixmier-douady-invariants nilpotent-lie-groups operator-algebrasarXiv posted 2 days ago
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The Dixmier–Douady vanishing conjecture for subquotients of exponential Lie group $C^*$ -algebras
Let $G$ be an exponential Lie group and let $C^*(G)$ be its $C^*$ -algebra. A continuous-trace subquotient is a quotient $\mathcal J_2/\mathcal J_1$ of $C^*(G)$ by ideals…
Conjectureopendixmier-douady-invariants lie-groups operator-algebrasarXiv posted 2 days ago

Lipman–Rosenberg conjecture on Dixmier–Douady invariants of nilpotent Lie groups