Geodesic
Compact Operators in Regular LCQ Groups
Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 546-550

Voir la notice de l'article provenant de la source Cambridge University Press

We show that a regular locally compact quantum group $\mathbb{G}$ is discrete if and only if ${{\mathcal{L}}^{\infty }}\left( \mathbb{G} \right)$ contains non-zero compact operators on ${{\mathcal{L}}^{2}}\left( \mathbb{G} \right)$ . As a corollary we classify all discrete quantum groups among regular locally compact quantum groups $\mathbb{G}$ where ${{\mathcal{L}}^{1}}\left( \mathbb{G} \right)$ has the Radon-Nikodym property.
DOI : 10.4153/CMB-2013-003-5
Mots-clés : 46L89, locally compact quantum groups, regularity, compact operators 
Kalantar, Mehrdad. Compact Operators in Regular LCQ Groups. Canadian mathematical bulletin, Tome 57 (2014) no. 3, pp. 546-550. doi: 10.4153/CMB-2013-003-5
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