A new index theorem for monomial ideals by resolutions

作者：Douglas, Ronald G.; Jabbari, Mohammad; Tang, Xiang^*; Yu, Guoliang

来源：Journal of Functional Analysis, 2018, 275(3): 735-760.

DOI：10.1016/j.jfa.2018.04.003

• Index theorem
• K-homology
• Essentially normal Hilbert module
• Toeplitz operators

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 essentially normal Hilbert modules, each of which is a direct sum of (weighted) Bergman spaces on balls.

• 出版日期2018-8-1
• 单位复旦大学