Relative equivariant coarse index and relative L2-index

摘要

In this paper, we define a relative equivariant coarse index for proper actions and a relative L-2-index. We derive a relative equivariant coarse index theorem connecting the relative equivariant coarse index with the localized equivariant coarse index. Furthermore, we present a calculation formula on the relative L-2-index and provide a relative L-2-index theorem. Our work is an expansion of the relative index theory which reflects the difference between two manifolds.

关键词