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math.KT2002
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…
math.KT2002
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…
math.KT2001
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…