L'homologie cyclique périodique des algèbres d'Iwahori-Hecke

Translated title of the contribution: Periodic cyclic homology of Iwahori-Hecke algebras

Paul Baum, Victor Nistor

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In this Note we explain how to determine the periodic cyclic homology of the Iwahori-Hecke algebras Hq, for q∈C* not a proper root of unity (by a proper root of unity, we shall 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.

Original languageFrench
Pages (from-to)783-788
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume332
Issue number9
DOIs
StatePublished - May 1 2001

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Iwahori-Hecke Algebra
Cyclic Homology
Roots of Unity
Cyclic Cohomology
Finite Type
Morphism
Isomorphism
Algebra

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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L'homologie cyclique périodique des algèbres d'Iwahori-Hecke. / Baum, Paul; Nistor, Victor.

In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Vol. 332, No. 9, 01.05.2001, p. 783-788.

Research output: Contribution to journalArticle

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