对具有有限和无限子商群的 $C^*$-代数的分类
算子代数
2015-05-28 v3
摘要
我们给出了有限拓扑空间 上一类特定 -代数 的分类结果，其中存在 的一个开集 ，使得 分离了 的有限和无限子商群。我们将把结果应用于图论产生的 -代数。
引用
@article{arxiv.1009.4778,
title = {Classifying $C^*$-algebras with both finite and infinite subquotients},
author = {Soren Eilers and Gunnar Restorff and Efren Ruiz},
journal= {arXiv preprint arXiv:1009.4778},
year = {2015}
}
备注
Version III: No changes to the text. We only report that Lemma 4.5 is not correct as stated. See arXiv:1505.05951 for the corrected version of Lemma 4.5. As noted in arXiv:1505.05951, the main results of this paper are true verbatim. Version II: Improved some results in Section 3 and loosened the assumptions in Definition 4.1