13 citations · 14 across the 2 of their papers we have counts for
2 papers
math.KT2008★ 1 cited
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…
math.DG2008★ 13 cited
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…