Cocenters of p-adic Groups, III: Elliptic and Rigid Cocenters
Dan Ciubotaru , Xuhua He
Peking Mathematical Journal ›› 2020, Vol. 4 ›› Issue (2) : 159 -186.
Cocenters of p-adic Groups, III: Elliptic and Rigid Cocenters
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.
Engineering and Physical Sciences Research Council(EP/N033922/1)
Directorate for Mathematical and Physical Sciences(DMS-1463852)
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