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

Dan Ciubotaru Xuhua He

Representation Theory mathscidoc:1912.43221

Journal of Pure and Applied Algebra, 220, (1), 382-410, 2016.1
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 PaleyWiener theorem).
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@inproceedings{dan2016the,
  title={The cocenter of the graded affine Hecke algebra and the density theorem},
  author={Dan Ciubotaru, and Xuhua He},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113027890723781},
  booktitle={Journal of Pure and Applied Algebra},
  volume={220},
  number={1},
  pages={382-410},
  year={2016},
}
Dan Ciubotaru, and Xuhua He. The cocenter of the graded affine Hecke algebra and the density theorem. 2016. Vol. 220. In Journal of Pure and Applied Algebra. pp.382-410. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113027890723781.
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