Leavitt 路径代数的分类猜想

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2024-09-04 DOI:10.1112/blms.13139

Guillermo Cortiñas, Roozbeh Hazrat

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引用次数: 0

摘要

利维特路径代数理论通过图与符号动力学理论和 C ∗ $C^*$ -代数有内在联系，在过去的 50 年中，主要的分类方案一直是研究的热点。在这篇文章中，我们汇集了目前在莱维特路径代数分类方面的研究方向、问题、猜想，以及迄今为止获得的一些相关结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Classification conjectures for Leavitt path algebras

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Classification conjectures for Leavitt path algebras

The theory of Leavitt path algebras is intrinsically related, via graphs, to the theory of symbolic dynamics and $C^{*}$ -algebras where the major classification programs have been a domain of intense research in the last 50 years. In this article, we gather together current lines of research in the classification of Leavitt path algebras, questions, conjectures, and some of the results about them that have been obtained so far.

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来源期刊

Bulletin of the London Mathematical Society 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

198

审稿时长

4-8 weeks

期刊介绍： Published by Oxford University Press prior to January 2017: http://blms.oxfordjournals.org/