C ~*-代数的连续域与带边界流形的切广群
A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary
摘要：
对于有边界的光滑流形，我们构造了一个半群胚和一个C ~*-代数连续域，推广了Connes的切群胚构造.证明了带有光滑符号的\hbar -尺度截断伪微分算子的渐近乘法性，并计算了相应符号代数的K-理论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
