1 citations · 1 across the 1 of their papers we have counts for
5 papers
Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles
Moulay Benameur, James Heitsch
When the index bundle of a longitudinal Dirac type operator is transversely smooth, we define its Chern character in Haefliger cohomology and relate it to the Chern character of th…
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…
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…
Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)
Moulay-Tahar Benameur, Herve Oyono-Oyono
In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. The main tools are the measured index theorem for laminations and a naturality of the long…
Homology of complete symbols and non-commutative geometry
Moulay-Tahar Benameur, Victor Nistor
We identify the periodic cyclic homology of the algebra of complete symbols on a differential groupoid $\GR$ in terms of the cohomology of $S^*(\GR)$, the cosphere bundle of $A(\GR…