@inproceedings{aec8c13e95314169b81ec7dea2d85d4a,
title = "Cartan motion group and orbital integrals",
abstract = "In this short note, we study the variation of orbital integrals, as traces on the group algebra G, under the deformation groupoid. We show that orbital integrals are continuous under the deformation. And we prove that the pairing between orbital integrals and K-theory elements of Cr∗ (G) stays constant with respect to the deformation for regular group elements, but varies at singular elements.",
keywords = "Cartan motion group, Mackey, orbital integrals",
author = "Yanli Song and Xiang Tang",
note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.; Virtual Conference on Cyclic Cohomology at 40: Achievements and Future Prospects, 2021 ; Conference date: 27-09-2021 Through 01-10-2021",
year = "2023",
doi = "10.1090/pspum/105/22",
language = "English",
isbn = "9781470469771",
series = "Proceedings of Symposia in Pure Mathematics",
publisher = "American Mathematical Society",
pages = "477--489",
editor = "Alain Connes and Alain Connes and Caterina Consani and Dundas, {Bj{\o}rn Ian} and Masoud Khalkhali and Henri Moscovici",
booktitle = "Cyclic Cohomology at 40",
}