zbMATH — the first resource for mathematics

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.

16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
20C08 Hecke algebras and their representations
Full Text: DOI arXiv