6 papers
Higher Lefschetz formulas on Γ-proper manifolds
Paolo Piazza, Hessel Posthuma, Yanli Song +1
Let be a finitely generated discrete group acting properly and cocompactly on a smooth manifold M. By employing heat-kernel techniques we prove a geometric formula for the pair…
Simplicial sheaves of modules and Morita invariance of groupoid cohomology
Xiang Tang, Joel Villatoro
In this article we develop a unified framework for proving Morita invariance of cohomology theories associated to Lie groupoids. Our approach is to view these cohomology theories a…
Higher Orbital Integrals on Motion Groups and Mackey Deformation
Angel Román, Yanli Song, Xiang Tang
We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integra…
Heat kernel, large-time behavior, and representation theory
Shu Shen, Yanli Song, Xiang Tang
Given a real reductive group , the purpose of this paper is to show an asymptotic formula of the large-time behavior of the -trace of the heat operator on the associated symm…
Mapping Cone and Morse Theory
David Clausen, Xiang Tang, Li-Sheng Tseng
On a smooth manifold, we associate to any closed differential form a mapping cone complex. The cohomology of this mapping cone complex can vary with the de Rham cohomology class of…
On the Connes-Kasparov isomorphism, I: The reduced C*-algebra of a real reductive group and the K-theory of the tempered dual
Pierre Clare, Nigel Higson, Yanli Song +1
This is the first of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to Morita equivalence, and the verification o…