English

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

Operator Algebras 2026-01-08 v1

Abstract

Associated to a Lie groupoid, there are two CC^*-algebras: the full and the reduced one. The associated order 00 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.

Keywords

Cite

@article{arxiv.2601.03960,
  title  = {Exact Sequence of $0$-Order Pseudodifferential Operators on a Lie Groupoid},
  author = {Mahsa Naraghi},
  journal= {arXiv preprint arXiv:2601.03960},
  year   = {2026}
}