Compact Operators in Regular LCQ Groups

Canadian mathematical bulletin

Mehrdad Kalantar¹ 

[1] School of Mathematics and Statistics, Carleton University, Ottawa, ON

关键词: locally compact quantum groups;    regularity;    compact operators;   

DOI  :  10.4153/CMB-2013-003-5

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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

【 授权许可】

Unknown