16 citations · 54 across the 16 of their papers we have counts for
18 papers
Index theory for improper actions: localization at units
Denis Perrot
We pursue the study of local index theory for operators of Fourier-integral type associated to non-proper and non-isometric actions of Lie groupoids, initiated in a previous work.…
An equivariant index theorem for hypoelliptic operators
Denis Perrot, Rudy Rodsphon
Let M be a foliated manifold and G a discrete group acting on M by diffeomorphisms mapping leaves to leaves. Then G naturally acts by automorphisms on the algebra of Heisenberg pse…
Local index theory for certain Fourier integral operators on Lie groupoids
Denis Perrot
We develop a local index theory for Fourier-integral operators associated to non-proper and non-isometric actions of Lie groupoids on smooth submersions. To such action is associat…
Pseudodifferential extension and Todd class
Denis Perrot
Let M be a closed manifold. Wodzicki shows that, in the stable range, the cyclic cohomology of the associative algebra of pseudodifferential symbols of order \leq 0 is isomorphic t…
Extensions and renormalized traces
Denis Perrot
It has been shown by Nistor that given any extension of associative algebras over C, the connecting morphism in periodic cyclic homology is compatible, under the Chern-Connes chara…
Localization over complex-analytic groupoids and conformal renormalization
Denis Perrot
We present a higher index theorem for a certain class of etale one-dimensional complex-analytic groupoids. The novelty is the use of the local anomaly formula established in a prev…