The cocenter of the graded affine Hecke algebra and the density theorem

• Dan Ciubotaru ^[1] ; Xuhua He ^[2]
  1. [1] University of Oxford

     University of Oxford

     Oxford District, Reino Unido

     
  2. [2] University of Maryland, USA
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 220, Nº 1 (January 2016), 2016, págs. 382-410
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.06.018
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• Resumen

  • We determine a basis of the (twisted) cocenter of graded affine Hecke algebras with arbitrary parameters. In this setting, we prove that the kernel of the (twisted) trace map is the commutator subspace (the Density theorem) and that the image is the space of good forms (the trace Paley–Wiener theorem).