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Article Dans Une Revue Journal of Algebra Année : 2009

On idempotent states on quantum groups

Uwe Franz
Adam Skalski
  • Fonction : Auteur

Résumé

Idempotent states on a compact quantum group are shown to yield group-like projections in the multiplier algebra of the dual discrete quantum group. This allows to deduce that every idempotent state on a finite quantum group arises in a canonical way as the Haar state on a finite quantum hypergroup. A natural order structure on the set of idempotent states is also studied and some examples discussed.

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hal-00470205 , version 1 (05-04-2010)

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Uwe Franz, Adam Skalski. On idempotent states on quantum groups. Journal of Algebra, 2009, 322 (5), pp.1774-1802. ⟨10.1016/j.jalgebra.2009.05.037⟩. ⟨hal-00470205⟩
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