Engel, Alexander (2018) Index theorems for uniformly elliptic operators. NEW YORK JOURNAL OF MATHEMATICS, 24. pp. 543-587. ISSN 1076-9803,
Full text not available from this repository. (Request a copy)Abstract
We generalize Roe's index theorem for graded generalized Dirac operators on amenable manifolds to multigraded elliptic uniform pseudodifferential operators. The generalization will follow from a local index theorem that is valid on any manifold of bounded geometry. This local formula incorporates the uniform estimates present in the definition of uniform pseudodifferential operators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | BOUNDARY-VALUE-PROBLEMS; POSITIVE SCALAR CURVATURE; DIFFERENTIAL-OPERATORS; SPECTRAL ASYMMETRY; MANIFOLDS; Index theory; pseudodifferential operators; uniform K-homology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Mar 2020 12:46 |
| Last Modified: | 23 Mar 2020 12:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/15349 |
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