3 papers
math.KT2023
Deformation and -theoretic Index Formulae on Boundary Groupoids
Yu Qiao, Bing Kwan So
Boundary groupoids were introduced by the second author, which can be used to model many analysis problems on singular spaces. In order to investigate index theory on boundary grou…
math.KT2018
K-theory and index formulas for boundary groupoid C*-algebras
Bing Kwan So
We compute explicitly the K-groups of some boundary groupoid C*-algebras with exponential isotropy subgroups. Then we derive index formulas that computes the K-theoretic and Fredho…
math.AP2012
Exponential coordinates and regularity of groupoid heat kernels
Bing Kwan So
We prove that on an asymptotically Euclidean boundary groupoid, the heat kernel of the Laplacian is a smooth groupoid pseudo-differential operator.