English

K-theory and index formulas for boundary groupoid C*-algebras

K-Theory and Homology 2018-04-30 v1 Analysis of PDEs

Abstract

We compute explicitly the K-groups of some boundary groupoid C*-algebras with exponential isotropy subgroups. Then we derive index formulas that computes the K-theoretic and Fredholm indexes of elliptic (respectively totally elliptic) pseudo-differential operators on these groupoids.

Keywords

Cite

@article{arxiv.1804.10426,
  title  = {K-theory and index formulas for boundary groupoid C*-algebras},
  author = {Bing Kwan So},
  journal= {arXiv preprint arXiv:1804.10426},
  year   = {2018}
}