Non-commutative residue of projections in Boutet de Monvel's calculus

Details Non-commutative residue of projections in Boutet de Monvel's calculus Non-commutative residue of projections in Boutet de Monvel's calculus

2007-09-21

arxiv.org/abs/0709.3407v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

Using results by Melo, Nest, Schick, and Schrohe on the K-theory of Boutet de Monvel's calculus of boundary value problems, we show that the non-commutative residue introduced by Fedosov, Golse, Leichtnam, and Schrohe vanishes on projections in the calculus. This partially answers a question raised in a recent collaboration with Grubb, namely whether the residue is zero on sectorial projections for boundary value problems: This is confirmed to be true when the sectorial projections is in the calculus.

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