Analytical Signatures and Proper Actions
  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. 
No\'e B\'arcenas, Quitzeh Morales Mel\'endez
math.KT