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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
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