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Periodic cyclic homology of Iwahori-Hecke algebras. (English. Abridged French version) Zbl 1013.16003
Authors’ summary: We explain how to determine the periodic cyclic homology of the Iwahori-Hecke algebras $$H_q$$, for $$q\in\mathbb{C}^*$$ not a proper root of unity (by a proper root of unity, we mean a root of unity other than 1). Our method is based on a general result on periodic cyclic homology, which states that any ‘weakly spectrum preserving’ morphism of finite type algebras induces an isomorphism in periodic cyclic cohomology.

##### MSC:
 16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) 20C08 Hecke algebras and their representations
##### Keywords:
periodic cyclic homology; Iwahori-Hecke algebras
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