English

Analytical Signatures and Proper Actions

K-Theory and Homology 2018-03-06 v4

Abstract

In this short note we compare Mishchenko's definition of noncommutative signature for a manifold with proper GG-action of a discrete, countable group GG with the (more analytical) counterpart defined by Higson and Roe in the series of articles "Mapping Surgery to Analysis". A generalization of the coarse index is also addressed.

Cite

@article{arxiv.1610.02118,
  title  = {Analytical Signatures and Proper Actions},
  author = {Noé Bárcenas and Quitzeh Morales Meléndez},
  journal= {arXiv preprint arXiv:1610.02118},
  year   = {2018}
}
R2 v1 2026-06-22T16:13:51.753Z