On the index of equivariant Toeplitz operators
Abstract
The goal is to understand the indextheoretic 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 November 1999
 arXiv:
 arXiv:math/9911177
 Bibcode:
 1999math.....11177B
 Keywords:

 Differential Geometry;
 58G10
 EPrint:
 9 pages