3 citations · 3 across the 3 of their papers we have counts for
7 papers · 1 filter
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…
Residues and homology for pseudodifferential operators on foliations
Moulay-Tahar Benameur, Victor Nistor
We study the Hochschild homology groups of the algebra of complete symbols on a foliated manifold . The first step is to relate these groups to the Poisson homology of $(M,F…
An index for gauge-invariant operators and the Dixmier-Douady invariant
Victor Nistor, Evgenij Troitsky
Let $\GR \to B$ be a bundle of compact Lie groups acting on a fiber bundle . In this paper we introduce and study gauge-equivariant -theory groups $K_\GR^i(Y)$. These g…
Periodic cyclic homology of Iwahori-Hecke algebras
Paul Baum, Victor Nistor
We determine the periodic cyclic homology of the Iwahori-Hecke algebras $\Hecke_q$, for $q \in \CC^*$ not a ``proper root of unity.'' (In this paper, by a {\em proper root of unity…
Homology of algebras of families of pseudodifferential operators
Moulay Benameur, Victor Nistor
We compute the Hochschild, cyclic, and periodic cyclic homology groups of algebras of families of Laurent complete symbols on manifolds with corners. We show in particular that the…