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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75798For 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.Functional AnalysisOperator Algebras58J32; 58H05; 35S15; 46L80A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundarytext