Relative equivariant coarse index and relative L2-index

作者：Chen, Xiaoman; Liu, Yanlin^*; Zhou, Dapeng

来源：Science China Mathematics, 2023, 66(7): 1449-1472.

DOI：10.1007/s11425-021-1990-4

• relative equivariant coarse index
• relative L-2-index
• regular cover
• Roe algebra

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.

• 单位
  复旦大学