English

On the index of equivariant Toeplitz operators

Differential Geometry 2007-05-23 v1

Abstract

The goal is to understand the index-theoretic aspects of the recent preprint of R. Nest and F. Radulescu, math.OA/9911042. The basic observation (due to E. Guenter/N. Higson) is that the index of the Toeplitz operator is equal to the index of an associated Callias type operator, i.e. a Dirac operator with potential, the index of which is easy to compute. We show how to extend this idea to the equivariant case.

Keywords

Cite

@article{arxiv.math/9911177,
  title  = {On the index of equivariant Toeplitz operators},
  author = {U. Bunke},
  journal= {arXiv preprint arXiv:math/9911177},
  year   = {2007}
}

Comments

9 pages

R2 v1 2026-07-22T18:05:21.721Z