21 citations · 195 across the 53 of their papers we have counts for
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On the Baum--Connes conjecture with coefficients for linear algebraic groups
Maarten Solleveld
We prove the Baum--Connes conjecture with arbitrary coefficients for some classes of groups: (1) Linear algebraic groups over a non-archimedean local field. (2) Linear algebraic gr…
Topological K-theory of affine Hecke algebras
Maarten Solleveld
Let H(R,q) be an affine Hecke algebra with a positive parameter function q. We are interested in the topological K-theory of H(R,q), that is, the K-theory of its C*-completion C*_r…
Hochschild homology of affine Hecke algebras
Maarten Solleveld
Let H = H (R,q) be an affine Hecke algebra with complex, possibly unequal parameters q, which are not roots of unity. We compute the Hochschild and the cyclic homology of H. It tur…
Homology of graded Hecke algebras
Maarten Solleveld
Let H be a graded Hecke algebra with complex deformation parameters and Weyl group W. We show that the Hochschild, cyclic and periodic cyclic homologies of H are all independent of…
Periodic cyclic homology of reductive p-adic groups
Maarten Solleveld
Let G be a reductive p-adic group, H(G) its Hecke algebra and S(G) its Schwartz algebra. We will show that these algebras have the same periodic cyclic homology. This might be used…
Periodic cyclic homology of Hecke algebras and their Schwartz completions
Maarten Solleveld
We show that the inclusion of an affine Hecke algebra in its Schwartz completion induces an isomorphism on periodic cyclic homology.