A Continuous Field of C∗-algebras and the Tangent Groupoid for Manifolds with Boundary
نویسندگان
چکیده
For a smooth manifold X with boundary we construct a semigroupoid T −X and a continuous field C∗ r (T −X) 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. Math. Subject Classification 58J32, 58H05, 35S15, 46L80.
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تاریخ انتشار 2005