Journal of the European Mathematical Society

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Volume 19, Issue 10, 2017, pp. 3143–3177
DOI: 10.4171/JEMS/737

Published online: 2017-09-18

Cocenters and representations of affine Hecke algebras

Dan Ciubotaru[1] and Xuhua He[2]

(1) University of Oxford, UK
(2) University of Maryland, College Park, USA and HKUST, Hong Kong, China

In this paper, we study the relationship between the cocenter and the representation theory of affine Hecke algebras. The approach is based on the interaction between the rigid cocenter, an important subspace of the cocenter, and the dual object in representation theory, the rigid quotient of the Grothendieck group of finite-dimensional representations.

Keywords: Affine Hecke algebra, cocenter, density theorem, trace Paley–Wiener theorem

Ciubotaru Dan, He Xuhua: Cocenters and representations of affine Hecke algebras. J. Eur. Math. Soc. 19 (2017), 3143-3177. doi: 10.4171/JEMS/737