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Article Dans Une Revue Comptes rendus de l'Académie des sciences. Série I, Mathématique Année : 2009

A New Characterisation of Idempotent States on Finite and Compact Quantum Groups

Uwe Franz
Adam Skalski
  • Fonction : Auteur

Résumé

We show that idempotent states on finite quantum groups correspond to pre-subgroups in the sense of Baaj, Blanchard, and Skandalis. It follows that the lattices formed by the idempotent states on a finite quantum group and by its coidalgebras are isomorphic. We show furthermore that these lattices are also isomorphic for compact quantum groups, if one restricts to expected coidalgebras.

Dates et versions

hal-00470203 , version 1 (05-04-2010)

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Uwe Franz, Adam Skalski. A New Characterisation of Idempotent States on Finite and Compact Quantum Groups. Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2009, 347, pp.991-996. ⟨10.1016/j.crma.2009.06.015⟩. ⟨hal-00470203⟩
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