English

A New Index Theorem for Monomial Ideals by Resolutions

Operator Algebras 2017-08-22 v1 Functional Analysis K-Theory and Homology

Abstract

We prove an index theorem for the quotient module of a monomial ideal. We obtain this result by resolving the monomial ideal by a sequence of Bergman space like essentially normal Hilbert modules.

Keywords

Cite

@article{arxiv.1708.05796,
  title  = {A New Index Theorem for Monomial Ideals by Resolutions},
  author = {Ronald G. Douglas and Mohammad Jabbari and Xiang Tang and Guoliang Yu},
  journal= {arXiv preprint arXiv:1708.05796},
  year   = {2017}
}

Comments

23 pages

R2 v1 2026-06-22T21:18:26.142Z