K-homology classes of elliptic uniform pseudodifferential operators
Differential Geometry
2018-05-09 v1 K-Theory and Homology
Abstract
We show that an elliptic uniform pseudodifferential operator over a manifold of bounded geometry defines a class in uniform K-homology, and that this class only depends on the principal symbol of the operator.
Keywords
Cite
@article{arxiv.1805.02736,
title = {K-homology classes of elliptic uniform pseudodifferential operators},
author = {Alexander Engel},
journal= {arXiv preprint arXiv:1805.02736},
year = {2018}
}
Comments
Consists mostly of Section 2 of the preprint arXiv:1502.00494 which is being split up for easier publication. The latter arose out of the Ph.D. thesis arXiv:1410.8030 of the author. To appear in Ann. Global Anal. Geom