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

Dan Ciubotaru, Xuhua He

• 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).