4 papers
Coarse pseudo-differential calculus and index theory on manifolds with a tangent Lie structure
Gennadi Kasparov
We introduce a simplified (coarse) version of pseudo-differential calculus for operators of order zero on complete Riemannian manifolds. This calculus works for the usual Hormander…
K-theory and index theory on manifolds with a proper Lie group action
Gennadi Kasparov
The paper is devoted to the index theory of orbital and transverse elliptic operators on manifolds with a proper Lie group action. It corrects errors of my previous paper (publishe…
The coarse geometric Novikov conjecture and uniform convexity
Gennadi Kasparov, Guoliang Yu
The coarse geometric Novikov conjecture provides an algorithm to determine when the higher index of an elliptic operator on a noncompact space is nonzero. The purpose of this paper…
Groups acting properly on "bolic" spaces and the Novikov conjecture
Gennadi Kasparov, Georges Skandalis
We introduce a class of metric spaces which we call "bolic". They include hyperbolic spaces, simply conneccted complete manifolds of nonpositive curvature, euclidean buildings, etc…