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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.03960 |
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| _version_ | 1866912807926104064 |
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| author | Naraghi, Mahsa |
| author_facet | Naraghi, Mahsa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_03960 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Exact Sequence of $0$-Order Pseudodifferential Operators on a Lie Groupoid Naraghi, Mahsa Operator Algebras 58J40, 47L80, 22A22 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. |
| title | Exact Sequence of $0$-Order Pseudodifferential Operators on a Lie Groupoid |
| topic | Operator Algebras 58J40, 47L80, 22A22 |
| url | https://arxiv.org/abs/2601.03960 |