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math.AP2025
Stratification of the Helffer-Nourrigat Cone
Clément Cren
Given a singular filtration on a manifold, e.g., a sub-Riemannian setting, one can understand the regularity problems through the Androulidakis-Mohsen-Yuncken pseudodifferential ca…
math.OA2025
Fields of Toeplitz algebras form the principal symbol of regular 2-step nilpotent groups
Clément Cren
We show that the C*-algebra of a regular 2-step nilpotent lie group can be recovered using continuous fields of Toeplitz algebras and a crossed product. We generalize this result t…