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Algebraic and analytic Dirac induction for graded affine Hecke algebras
Abstract We define the algebraic Dirac induction map ${\mathrm{Ind} }_{D} $ for graded affine Hecke algebras. The map ${\mathrm{Ind} }_{D} $ is a Hecke algebra analog of the explicit realization of the Baum–Connes assembly map in the $K$ -theory of the reduced ${C}^{\ast } $ -algebra of a real reductive …