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

Dan Ciubotaru; Xuhua He

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arXiv · 1703.00378

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

Dan Ciubotaru·Xuhua He

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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.

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BibTeX RIS

Dan Ciubotaru, Xuhua He. 2017-03-01. Cocenters of $p$-adic groups, III: Elliptic and rigid cocenters. https://arxiv.org/abs/1703.00378

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