布尔动力系统的 C*-代数中的规范不变理想
算子代数
2021-05-24 v3
摘要
我们扩充了布尔动力系统的 -代数类，以将所有的弱左可解正规标号空间 -代数包含其中。我们证明了一个规范不变唯一性定理，并对这些广义布尔动力系统的 -代数中的所有规范不变理想进行了分类，且将相应商代数描述为相对广义布尔动力系统的 -代数。
引用
@article{arxiv.1911.12172,
title = {Gauge-invariant ideals of C*-algebras of Boolean dynamical systems},
author = {Toke Meier Carlsen and Eun Ji Kang},
journal= {arXiv preprint arXiv:1911.12172},
year = {2021}
}
备注
28 pages. Version 2 is a slightly revised version of version 1, and is the version that was published in Journal of Mathematical Analysis and Applications. In version 2 (and the published version), there were some small mistakes on page 24 and in the proof of Lemma 7.2.(2) on page 25. They have been corrected in version 3 (see also https://doi.org/10.1016/j.jmaa.2020.124754)