103 citations · 379 across the 58 of their papers we have counts for
11 papers · 1 filter
The periodic cyclic homology of crossed products of finite type algebras
Jacek Brodzki, Shantanu Dave, Victor Nistor
We study the periodic cyclic homology groups of the cross-product of a finite type algebra by a discrete group . In case is commutative and is finite, our results ar…
An index formula for perturbed Dirac operators on Lie manifolds
Catarina Carvalho, Victor Nistor
We give an index formula for a class of Dirac operators coupled with unbounded potentials. More precisely, we study operators of the form P := D+ V, where D is a Dirac operators an…
The -groups and the index theory of certain comparison -algebras
Bertrand Monthubert, Victor Nistor
We compute the -theory of comparison -algebra associated to a manifold with corners. These comparison algebras are an example of the abstract pseudodifferential algebras in…
A topological index theorem for manifolds with corners
Bertrand Monthubert, Victor Nistor
We define an analytic index and prove a topological index theorem for a non-compact manifold with poly-cylindrical ends. We prove that an elliptic operator on has…
The Thom isomorphism in gauge-equivariant K-theory
Victor Nistor, Evgenij Troitsky
In a previous paper we have introduced the gauge-equivariant K-theory group of a bundle endowed with a continuous action of a bundle of compact Lie groups. These groups are the nat…
A non-commutative geometry approach to the representation theory of reductive -adic groups: Homology of Hecke algebras, a survey and some new results
Victor Nistor
We survey some of the known results on the relation between the homology of the {\em full} Hecke algebra of a reductive -adic group , and the representation theory of . Le…