Higher Orbital Integrals on Motion Groups and Mackey Deformation
K-Theory and Homology
2025-07-29 v1
Abstract
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 integral on a real reductive group associated with a semisimple element converges to the corresponding one on the associated Cartan motion group.
Cite
@article{arxiv.2507.21008,
title = {Higher Orbital Integrals on Motion Groups and Mackey Deformation},
author = {Angel Román and Yanli Song and Xiang Tang},
journal= {arXiv preprint arXiv:2507.21008},
year = {2025}
}