TY - UNPB
T1 - Non-commutative residue of projections in Boutet de Monvel's calculus
AU - Gaarde, Anders
N1 - Keywords: math.AP; math.KT; 58J42, 58J32, 35S15
PY - 2007
Y1 - 2007
N2 - 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.
AB - 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.
M3 - Working paper
BT - Non-commutative residue of projections in Boutet de Monvel's calculus
ER -