Unitaire multiplicatif K-moyennable

Details Unitaire multiplicatif K-moyennable Unitaire multiplicatif K-moyennable

2002-06-21

arxiv.org/abs/math/0206231v1

Mathematics

K-Theory and Homology

10 pages

Scientific paper

Nous generalisons la theorie de la K-moyennabilite au cas d'un unitaire
multiplicatif regulier V. Nous montrons que si (H,V,U) est un systeme de Kac
K-moyennable, alors pour toute S-algebre A, les algebres $ A\times_{m}\hat S$
(produit croise maximal) et $ A\times \hat S$ (produit croise reduit) sont
KK-equivalentes ou S est la $C^*$-algebre de Hopf reduite associee a V.

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