13 citations · 14 across the 3 of their papers we have counts for
4 papers
Higher localized analytic indices and strict deformation quantization
Paulo Carrillo Rouse
This paper is concerned with the localization of higher analytic indices for Lie groupoids. Let $\gr$ be a Lie groupoid with Lie algebroid $A\gr$. Let be a (periodic) cyclic co…
Compactly supported analytic indices for Lie groupoids
Paulo Carrillo Rouse
For any Lie groupoid we construct an analytic index morphism taking values in a modified group which involves the convolution algebra of compactly supported smooth funct…
A Schwartz type algebra for the Tangent Groupoid
Paulo Carrillo Rouse
We construct an algebra of smooth functions over the tangent groupoid associated to any Lie groupoid. This algebra is a field of algebras over the closed interval [0, 1] which fibe…
An analytic index for Lie groupoids
Paulo Carrillo Rouse
For a Lie groupoid there is an analytic index morphism which takes values in the theory of the -algebra associated to the groupoid. This is a good invariant but extracting…