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- W4386301693 abstract "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 the associated filtered calculus by a natural R-action. This isomorphism is constructed in the same way as in the classical pseudodifferential calculus by Debord and Skandalis. The proof however relies on a structure result for the C*-algebra of graded nilpotent Lie groups which did not appear in the commutative case. A consequence of this structure result is a decomposition of the principal symbol algebra, generalizing the decomposition of Epstein and Melrose in the case of contact manifolds." @default.
- W4386301693 created "2023-08-31" @default.
- W4386301693 creator A5080504222 @default.
- W4386301693 date "2023-08-10" @default.
- W4386301693 modified "2023-09-27" @default.
- W4386301693 title "Filtered Calculus and crossed products by R-actions" @default.
- W4386301693 doi "https://doi.org/10.48550/arxiv.2308.13532" @default.
- W4386301693 hasPublicationYear "2023" @default.
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