14 citations · 70 across the 24 of their papers we have counts for
6 papers · 1 filter
Cartan Motion Group and Orbital Integrals
Yanli Song, Xiang Tang
In this short note, we study the variation of orbital integrals, as traces on the group algebra , under the deformation groupoid. We show that orbital integrals are continuous u…
Higher Orbit Integrals, Cyclic Cocyles, and K-theory of Reduced Group C*-algebra
Yanli Song, Xiang Tang
Let G be a connected real reductive group. Orbit integrals define traces on the group algebra of G. We introduce a construction of higher orbit integrals in the direction of higher…
A KK-theoretic perspective on deformed Dirac operators
Yiannis Loizides, Rudy Rodsphon, Yanli Song
We study the index theory of a class of perturbed Dirac operators on non-compact manifolds of the form , where is a Clifford mul…
Quantization of Hamiltonian loop group spaces
Yiannis Loizides, Yanli Song
We prove a Fredholm property for spin-c Dirac operators on non-compact manifolds satisfying a certain condition with respect to the action of a semi-direct product gro…
An equivariant index for proper actions II: properties and applications
Peter Hochs, Yanli Song
In the first part of this series, we defined an equivariant index without assuming the group acting or the orbit space of the action to be compact. This allowed us to generalise an…
An equivariant index for proper actions I
Peter Hochs, Yanli Song
Equivariant indices have previously been defined in cases where either the group or the orbit space in question is compact. In this paper, we develop an equivariant index without a…