论文标题
c* - 代数的差分运算符，以及用于平滑功能性演算和schwartz函数的应用程序的差异操作员
Differential operators on C*-algebras and applications to smooth functional calculus and Schwartz functions on the tangent groupoid
论文作者
论文摘要
我们介绍了c* - 代理上的差分运算符的概念。这是平滑歧管上差分运算符的非共同类似物。我们表明，在平滑功能演算下，所有差分运算符的公共闭合域均封闭。作为推论，我们表明，在平滑功能积分下，Schwartz在Connes切线组上的功能是封闭的。
We introduce the notion of a differential operator on C*-algebras. This is a noncommutative analogue of a differential operator on a smooth manifold. We show that the common closed domain of all differential operators is closed under smooth functional calculus. As a corollary, we show that Schwartz functions on Connes tangent groupoid are closed under smooth functional calculus.
