30 citations · 167 across the 27 of their papers we have counts for
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math.FA2008★ 1 cited
Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
We prove an index theorem for boundary value problems in Boutet de Monvel's calculus on a compact manifold X with boundary. The basic tool is the tangent semigroupoid $\cT^-X$ gene…
math.FA2005★ 1 cited
A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asympto…