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

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DOI

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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     author = {Kalantar, Mehrdad},
     title = {Compact {Operators} in {Regular} {LCQ} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {546--550},
     year = {2014},
     volume = {57},
     number = {3},
     doi = {10.4153/CMB-2013-003-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2013-003-5/}
}
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