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arXiv · 1304.4140

Compact Operators in Regular LCQ Groups

Mehrdad Kalantar
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Abstract

We show that a regular locally compact quantum group $\mathbb{G}$ is discrete if and only if $L^\infty(\mathbb{G})$ contains non-zero compact operators on $L^2(\mathbb{G})$. As a corollary we classify all discrete quantum groups among regular locally compact quantum groups $\mathbb{G}$ where $L^1(\mathbb{G})$ has the Radon--Nikodym property.

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Mehrdad Kalantar. 2013-04-15. Compact Operators in Regular LCQ Groups. https://doi.org/10.4153/cmb-2013-003-5

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