English

A general Simonenko local principle and Fredholm condition for isotypical components

Differential Geometry 2022-02-25 v2 Operator Algebras

Abstract

In this paper, we derive, from a general Simonenko's local principle, Fredholm criteria for restriction to isotypical components. More precisely, we give a full proof, of the equivariant local principle for restriction to isotypical components of invariant pseudodifferential operators announced in \cite{BCLN2}. Furthermore, we extend this result by relaxing the hypothesis made in the preceding quoted paper.

Keywords

Cite

@article{arxiv.2109.06173,
  title  = {A general Simonenko local principle and Fredholm condition for isotypical components},
  author = {Alexandre Baldare},
  journal= {arXiv preprint arXiv:2109.06173},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2004.01543

R2 v1 2026-06-24T05:55:45.640Z