A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary

Mathematics – Functional Analysis

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Scientific paper

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 asymptotic multiplicativity of \hbar-scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.

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