Non-commutative residue of projections in Boutet de Monvel's calculus
Research output: Working paper › Research
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.
Original language | English |
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Publication status | Published - 2007 |
Bibliographical note
Keywords: math.AP; math.KT; 58J42, 58J32, 35S15
ID: 9835109