Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Von Neumann algebra valued differential operators over non-compact manifolds

Simone Cecchini

created by risa on 22 May 2015

27 may 2015 -- 14:30

Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma

Abstract.

We provide criteria for self-adjointness and τ-Fredholmness 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 τ. We extend the Callias-type index to operators acting on sections of such bundles and show that this index is stable under compact perturbations. Joint work with Maxim Braverman.

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