Compact and Weakly Compact Multipliers of Locally Compact Quantum Groups

被引：0
|
作者：
Alireza Medghalchi
Ahmad Mollakhalili
机构：
[1] Kharazmi University (Tarbiat Moallem University),Department of Mathematics
来源：
Bulletin of the Iranian Mathematical Society | 2018年 / 44卷
关键词：
Locally compact quantum groups; (Weakly) compact operators; Amenability; Module homomorphims; Primary 46L89; Secondary 22D25; 46L51;
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学科分类号：
摘要：
A locally compact group G is compact if and only if its convolution algebra has a non-zero (weakly) compact multiplier. Dually, G is discrete if and only if its Fourier algebra has a non-zero (weakly) compact multiplier. In addition, G is compact (respectively, amenable) if and only if the second dual of its convolution algebra equipped with the first Arens product has a non-zero (weakly) compact left (respectively, right) multiplier. We prove the non-commutative versions of these results in the case of locally compact quantum groups.
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页码：101 / 136
页数：35
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