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

Ciubotaru, D
He, X

January 2016

Journal:

JOURNAL OF PURE AND APPLIED ALGEBRA

Last Updated:

2019-04-26T10:13:35.183+01:00

1

220

DOI:

10.1016/j.jpaa.2015.06.018

382-410

abstract:

© 2015 Elsevier B.V.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).

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