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

Dan Ciubotaru; Xuhua He

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

Representation Theory 2017-11-29 v2

Authors: Dan Ciubotaru , Xuhua He

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.

Keywords

cocenters p-adic groups Hecke algebra elliptic cocenter rigid cocenter trace Paley-Wiener theorem Selberg principle mod-l representations

Cite

@article{arxiv.1703.00378,
  title  = {Cocenters of $p$-adic groups, III: Elliptic and rigid cocenters},
  author = {Dan Ciubotaru and Xuhua He},
  journal= {arXiv preprint arXiv:1703.00378},
  year   = {2017}
}

Comments

23 pages. Proof of Proposition 2.9 is corrected

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