2022/04/01 by Yanli Song, Xiang Tang, Song, Yanli +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #K-Theory and Homology (math.KT) #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2204.00243
openalex publication_date 2022/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 element of C^*r(G) stays constant with respect to the deformation for regular group elements, but vary at singular elements.