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arXiv · 2601.03960

Exact Sequence of $0$-Order Pseudodifferential Operators on a Lie Groupoid

Mahsa Naraghi
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Abstract

Associated to a Lie groupoid, there are two $C^*$-algebras: the full and the reduced one. The associated order $0$ pseudodifferential calculus gives rise to multiplier algebras of both. We prove that both associated corona algebras are equal to the natural (commutative) principal symbol algebras.

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Mahsa Naraghi. 2026-01-07. Exact Sequence of $0$-Order Pseudodifferential Operators on a Lie Groupoid. https://arxiv.org/abs/2601.03960

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