Cocenters of p-adic groups, III: Elliptic and rigid cocenters

2017/03/01 by Ciubotaru, Dan, He, Xuhua
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1703.00378

Abstract

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

Related

• Cocenter of p-adic groups, II: induction map
• Jordan Decompositions of cocenters of reductive p-adic groups
• Cocenters of p-adic groups, I: Newton decomposition
• Cocenters and representations of affine Hecke algebra
• The asymptotic Hecke algebra and rigidity