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Alexander Engel
Index theorems for uniformly elliptic operators
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| Published: |
August 25,2018. |
| Keywords: |
Index theory, pseudodifferential operators,
uniform K-homology. |
| Subject: |
Primary: 58J20; Secondary: 19K56,47G30.
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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.
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| Acknowledgements
This article arose out of the Ph.D.thesis of the author written at the University of Augsburg.
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| Author information
Alexander Engel:
Fakultät f&uamlr Mathematik, Universität Regensburg,
D-93040 Regensburg, Germany
alexander.engel@mathematik.uni-regensburg.de
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