×

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.

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