Analytical Signatures and Proper Actions

2016/10/07 by Bárcenas, Noé, Meléndez, Quitzeh Morales
#FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1610.02118

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.

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