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arXiv · 2306.17345

Leavitt Path Algebras of Quantum Quivers

Joshua Graham·Rishabh Goswami·Jason Palin
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Abstract

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to Quantum graphs, we introduce "Quantum Quivers" as an analogue of quivers where the edge and vertex set has been replaced by a $C^*$-algebra and the maps between the sets by $*$-homomorphisms.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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Joshua Graham, Rishabh Goswami, Jason Palin. 2023-06-30. Leavitt Path Algebras of Quantum Quivers. https://arxiv.org/abs/2306.17345

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