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The cocenter of graded affine Hecke algebra and the density theorem

Dan Ciubotaru Xuhua He

Representation Theory mathscidoc:1912.43215

arXiv preprint arXiv:1208.0914, 2012.8
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 (Density theorem) and that the image is the space of good forms (trace Paley-Wiener theorem).
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@inproceedings{dan2012the,
  title={The cocenter of graded affine Hecke algebra and the density theorem},
  author={Dan Ciubotaru, and Xuhua He},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113010270265775},
  booktitle={arXiv preprint arXiv:1208.0914},
  year={2012},
}
Dan Ciubotaru, and Xuhua He. The cocenter of graded affine Hecke algebra and the density theorem. 2012. In arXiv preprint arXiv:1208.0914. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191221113010270265775.
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