可交换离散量子群作用交叉积的逼近性质与熵估计
算子代数
2014-02-26 v4 泛函分析
摘要
我们为离散量子群作用的C*-代数交叉积构造了显式的逼近网。这意味着C*-代数逼近性质，如核性、正合性或完全有界逼近性质，在取可交换离散量子群作用的交叉积时得以保持。我们还证明了与量子群作用交换的变换的非交换拓扑熵，在延拓到交叉积时保持不变。这两个结果都通过稳定化技巧推广到了扭曲交叉积。
引用
@article{arxiv.0807.2827,
title = {Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups},
author = {Adam Skalski and Joachim Zacharias},
journal= {arXiv preprint arXiv:0807.2827},
year = {2014}
}
备注
20 pages, v4 fixes a few typos and expands some parts of the presentation. The final version of the paper will appear in the Journal of the London Mathematical Society