论文标题
在一类非正式，可能无限的伪差算子代数的封闭旋转中
On a class of closed cocycles for algebras of non-formal, possibly unbounded, pseudodifferential operators
论文作者
论文摘要
在本文中，我们考虑了$ s^1 $的代数$ \ mathcal {a} $，其中包含$ c^\ infty（s^1）的$ s^1 $，$ $ $ $ s $ $ hews被视为乘法运算符。我们应用Chern-Weil类型表格的结构，以获得$ 2K- $封闭的Cocycles。对于$ k = 1，$，我们在（也许是非古典）伪差异操作员的代数上获得了与同一同学相同的共同体学类别的cocycle，在古典pseudodifferential操作员的代数上，以前扩展并研究了作者对相同类型的代数进行了研究。
In this article, we consider algebras $\mathcal{A}$ of non-formal pseudodifferential operators over $S^1$ which contain $C^\infty(S^1),$ understood as multiplication operators. We apply a construction of Chern-Weil type forms in order to get $2k-$closed cocycles. For $k=1,$ we obtain a cocycle on the algebra of (maybe non classical) pseudodifferential operators with the same cohomology class as the Schwinger cocycle on the algebra of Classical pseudodifferential operators, previously extended and studied by the author on algebras of the same type.
