We identify the rigid dualizing complex of the (generic) affine Hecke algebra Hq attached to a reduced root system and deduce some structural properties as a consequence. For example, we show that the classical Hecke algebra Hq^± as well as Hq/q are, under a certain condition on the root system, Frobenius over their centers with Nakayama automorphism given by an explicit involution.
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Cautis et al. (2024) studied this question.
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