most citedA Schwartz type algebra for the Tangent Groupoid

13 citations · 14 across the 3 of their papers we have counts for

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math.KT2008

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…

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.KT2006

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…