On Positive Definiteness Over Locally Compact Quantum Groups
On Positive Definiteness Over Locally Compact Quantum Groups
复制标题
论局部紧量子群的正定性
DOI：
10.4153/cjm-2015-019-0
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Ami Viselter
中科院分区：
文献类型：
--
作者：
V. Runde;Ami Viselter
局部紧量子群上正定函数的概念是最近由Daws和Salmi提出并研究的。在此基础上，我们将群上正定函数的各种已知结果推广到量子框架中。其中包括关于正定函数的“平方根”定理、各种拓扑的比较、正定测度和顺从性的刻画以及紧量子子群的分离性质。
Abstract The notion of positive-definite functions over locally compact quantum groups was recently introduced and studied by Daws and Salmi. Based on this work, we generalize various well-known results about positive-definite functions over groups to the quantum framework. Among these are theorems on “square roots” of positive-definite functions, comparison of various topologies, positive-definite measures and characterizations of amenability, and the separation property with respect to compact quantum subgroups.