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math.KT2007★ 1 cited
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…
math.KT2006★ 5 cited
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.
math.KT2005
Some Fréchet algebras for which the Chern character is an isomorphism
Maarten Solleveld
Using similarities between topological -theory and periodic cyclic homology we show that, after tensoring with , for certain Fréchet algebras the Chern character prov…