Cocenters of p-adic groups, III: elliptic and rigid concenters

Author: 

Ciubotaru, D
He, X

Publication Date: 

13 October 2020

Journal: 

Peking Mathematical Journal

Last Updated: 

2020-11-08T10:10:49.803+00:00

DOI: 

10.1007/s42543-020-00027-1

abstract: 

In this paper, we show that the elliptic cocenter of the Hecke algebra of a connected reductive p-adic group is contained in the rigid cocenter. As applications, we prove the trace Paley-Wiener theorem and the abstract Selberg principle for mod-l representations.

Symplectic id: 

683985

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article