27 may 2015 -- 14:30
Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma
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.