Analytical signatures and proper actions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 20 Feb 2021Embargo end date: 01 Jan 2016Publisher:Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus UniversityJournal:Topological Methods in Nonlinear Analysis (issn: 1230-3429,

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Authors: Noé Bárcenas; Quitzeh Morales-Meléndez;

doi: 10.12775/tmna.2020.031 , 10.48550/arxiv.1610.02118

arXiv: 1610.02118

Analytical signatures and proper actions

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Abstract

In this short note we compare Mishchenko's definition of noncommutative signature for a manifold with proper $G$-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 coarse index is also addressed.

Keywords

Mathematics - K-Theory and Homology, FOS: Mathematics, K-Theory and Homology (math.KT)

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