83 citations · 297 across the 63 of their papers we have counts for
12 papers · 1 filter
Primary and secondary invariants of Dirac operators on -proper manifolds
Paolo Piazza, Xiang Tang
In this article, we survey the recent constructions of cyclic cocycles on the Harish-Chandra Schwartz algebra of a connected real reductive Lie group and their applications to…
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…
On the Hochschild homology of convolution algebras of proper Lie groupoids
Markus J. Pflaum, Hessel B. Posthuma, Xiang Tang
We study the Hochschild homology of the convolution algebra of a proper Lie groupoid by introducing a convolution sheaf over the space of orbits. We develop a localization result f…
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…
Smooth Connes--Thom isomorphism, cyclic homology, and equivariant quantisation
Sayan Chakraborty, Xiang Tang, Yi-Jun Yao
Using a smooth version of the Connes--Thom isomorphism in Grensing's bivariant K-theory for locally convex algebras, we prove an equivariant version of the Connes--Thom isomorphism…
Hochschild Lefschetz Class for -modules
Ajay Ramadoss, Xiang Tang, Hsian-hua Tseng
We introduce a notion of Hochschild Lefschetz class for a good coherent D-module on a compact complex manifold, and prove that this class is compatible with the direct image functo…