×

The noncommutative residue for manifolds with boundary. (English) Zbl 0877.58005

The authors give an interesting construction of a trace on the algebra of classical elements in Boutet de Monvel’s calculus on a compact manifold with boundary of dimension \(n>2\). It is shown that this trace is the unique continuous trace on this algebra up to multiplication by a constant. It is an elegant contribution to the subject.

MSC:

46L85 Noncommutative topology
46L87 Noncommutative differential geometry
Full Text: DOI