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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.17345 |
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| _version_ | 1866910422171385856 |
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| author | Graham, Joshua Goswami, Rishabh Palin, Jason |
| author_facet | Graham, Joshua Goswami, Rishabh Palin, Jason |
| contents | 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to Quantum graphs, we introduce "Quantum Quivers" as an analogue of quivers where the edge and vertex set has been replaced by a $C^*$-algebra and the maps between the sets by $*$-homomorphisms.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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_17345 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Leavitt Path Algebras of Quantum Quivers Graham, Joshua Goswami, Rishabh Palin, Jason Rings and Algebras 16S88, 46L89 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to Quantum graphs, we introduce "Quantum Quivers" as an analogue of quivers where the edge and vertex set has been replaced by a $C^*$-algebra and the maps between the sets by $*$-homomorphisms.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. |
| title | Leavitt Path Algebras of Quantum Quivers |
| topic | Rings and Algebras 16S88, 46L89 |
| url | https://arxiv.org/abs/2306.17345 |