English

An index theorem for quotients of Bergman spaces on egg domains

Operator Algebras 2020-09-24 v1 K-Theory and Homology

Abstract

In this paper we prove a KK-homology index theorem for the Toeplitz operators obtained from the multishifts of the Bergman space on several classes of egg-like domains. This generalizes our theorem with Douglas and Yu on the unit ball.

Keywords

Cite

@article{arxiv.2009.10788,
  title  = {An index theorem for quotients of Bergman spaces on egg domains},
  author = {Mohammad Jabbari and Xiang Tang},
  journal= {arXiv preprint arXiv:2009.10788},
  year   = {2020}
}