A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary
Abstract
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 -scaled truncated pseudodifferential operators with smoothing symbols and compute the K-theory of the associated symbol algebra.
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