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

Dan Ciubotaru; Xuhua He

arxiv: 1703.00378 · v2 · pith:6DEEKTNCnew · submitted 2017-03-01 · 🧮 math.RT

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

Dan Ciubotaru , Xuhua He This is my paper

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keywords cocentercocentersellipticrigidabstractadicalgebraapplications

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

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