Abstract

Given a compact manifold with boundary, endowed with an isometric action of a discrete group of polynomial growth, we state an index theorem for elliptic elements in the algebra of nonlocal operators generated by the Boutet de Monvel algebra of pseudodifferential boundary value problems on the manifold and the shift operators associated with the group action.

中文翻译：

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等距群作用与椭圆边值问题索引

摘要

给定具有边界的紧流形，并赋予多项式增长离散组的等距作用，我们针对流形上的伪微分边值问题的Boutet de Monvel代数的Boutet de Monvel代数生成的非局部算子代数中的椭圆元素的一个指数定理。与组操作关联的移位运算符。