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Unitaire multiplicatif K-moyennable

Mohamed Maghfoul
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Abstract

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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Mohamed Maghfoul. 2002-06-21. Unitaire multiplicatif K-moyennable. https://arxiv.org/abs/math/0206231

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