Relative Equivariant Coarse Index Theorem and Relative $L^2$-Index Theorem
Operator Algebras
2020-12-17 v1
Abstract
In this paper, we give a definition of the relative equivariant coarse index for proper actions and derive a relative equivariant coarse index theorem connecting this index with the localized equivariant coarse indices. This is an equivariant version of Roe's relative coarse index theorem in arXiv:arch-ive/1210.6100. Furthermore, we present a definition of the relative -index and prove a relative -index theorem which is a relative version of Atiyah's -index theorem.
Keywords
Cite
@article{arxiv.2012.09076,
title = {Relative Equivariant Coarse Index Theorem and Relative $L^2$-Index Theorem},
author = {Xiaoman Chen and Yanlin Liu and Dapeng Zhou},
journal= {arXiv preprint arXiv:2012.09076},
year = {2020}
}