论文标题
高轨道积分的索引定理
An index theorem for higher orbital integrals
论文作者
论文摘要
最近，本文的两位作者在Harish-Chandra的Schwartz代数上构建了循环伴奏，该代数是线性还原谎言组，这些谎言群检测到相应组$ C^*$ -Elgebra的$ k $理论中的所有信息。本文的主要结果是用于这些共同体与椭圆算子的等效索引的配对的指数公式，以进行适当的相结合作用。该指数公式通过拓扑表达式完全确定了这种模棱两可的指数。
Recently, two of the authors of this paper constructed cyclic cocycles on Harish-Chandra's Schwartz algebra of linear reductive Lie groups that detect all information in the $K$-theory of the corresponding group $C^*$-algebra. The main result in this paper is an index formula for the pairings of these cocycles with equivariant indices of elliptic operators for proper, cocompact actions. This index formula completely determines such equivariant indices via topological expressions.
