量子颤振的莱维特路径代数

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-10-25 DOI:10.1007/s00013-024-02067-w

Joshua Graham, Rishabh Goswami, Jason Palin

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引用次数: 0

摘要

根据Brannan等人最近关于将图\(C^*\) -代数扩展到量子图的工作，我们引入了“量子箭窝”作为箭窝的模拟，其中边和顶点集被\(C^*\) -代数取代，集合之间的映射被\(*\) -同态取代。此外，我们围绕这些结构发展了理论，构造了它们上面的Leavitt路径代数的概念，并计算了这类代数上有限生成的射影模的单阵。

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Leavitt path algebras of quantum quivers

Adapting a recent work of Brannan et al. on extending graph \(C^*\)-algebras to quantum graphs, we introduce “Quantum Quivers” as an analogue of quivers where the edge and vertex set has been replaced by a \(C^*\)-algebra and the maps between the sets by \(*\)-homomorphisms. Additionally, we develop the theory around these structures and construct a notion of Leavitt path algebra over them and also compute the monoid of finitely generated projective modules over this class of algebras.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.