将 Kirchberg 代数表示为逆半群交叉积
算子代数
2013-04-24 v2 动力系统
摘要
本文指出，UCT 类中 Kirchberg 代数的一种组合模型，即 Katsura 代数 ，既可以表示为群胚 C*-代数，也可以表示为逆半群交叉积。我们利用这一图像，采用不同于 Katsura 所用方法的技术，获得了关于 的简单性、纯无限性和核性的结果。
引用
@article{arxiv.1303.6268,
title = {Representing Kirchberg algebras as inverse semigroup crossed products},
author = {Ruy Exel and Enrique Pardo},
journal= {arXiv preprint arXiv:1303.6268},
year = {2013}
}
备注
In order to fix an error in Proposition 7.18, Section 7 has been rewritten from Lemma 7.12 onwards. Minor changes in sections 6 and 9. The main results of the paper have not been affected by these changes