3 citations · 3 across the 3 of their papers we have counts for
6 papers · 1 filter
Complex powers and non-compact manifolds
Bernd Ammann, Robert Lauter, Victor Nistor +1
We study the complex powers of an elliptic, strictly positive pseudodifferential operator using an axiomatic method that combines the approaches of Guillemin and Seeley…
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…
An index theorem for gauge-invariant families: The case of solvable groups
Victor Nistor
We define the gauge-equivariant index of a family of elliptic operators invariant with respect to the free action of a family $\GR \to B$ of Lie groups (these families are called `…