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math.OA2025
Fields of Toeplitz algebras for 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…
math.OA2025
Filtered Calculus and crossed products by R-actions
Clément Cren
We show an isomorphism between the kernel of the C*-algebra of the tangent groupoid of a filtered manifold and the crossed product of the order 0 pseudodifferential operators in th…