Abstract
We compare Mishchenko's definition of non-commutative signature for an oriented manifold with an orientation preserving proper action of a discrete, countable group $G$ with the (more analytical) counterpart defined by Higson and Roe in the series of articles “Mapping surgery to analysis”. A generalization of the bordism invariance of the coarse index is also addressed.
Citation
Noé Bárcenas. Quitzeh Morales-Meléndez. "Analytical signatures and proper actions." Topol. Methods Nonlinear Anal. 57 (1) 1 - 23, 2021. https://doi.org/10.12775/TMNA.2020.031
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