Spectral theory of von Neumann algebra valued differential operators over non-compact manifolds

Maxim Braverman; Simone Cecchini

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arXiv · 1503.02998

Spectral theory of von Neumann algebra valued differential operators over non-compact manifolds

Maxim Braverman·Simone Cecchini

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Abstract

We provide criteria for self-adjointness and {\tau}-Fredhomness of first and second order differential operators acting on sections of infinite dimensional bundles, whose fibers are modules of finite type over a von Neumann algebra A endowed with a trace {\tau}. We extend the Callias-type index to operators acting on sections of such bundles and show that this index is stable under compact perturbations.

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BibTeX RIS

Maxim Braverman, Simone Cecchini. 2015-03-10. Spectral theory of von Neumann algebra valued differential operators over non-compact manifolds. https://arxiv.org/abs/1503.02998

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