Simplicity of Lp-graph algebras
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| Název: | Simplicity of Lp-graph algebras |
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| Autoři: | Cortiñas, Guillermo, Montero, Diego, Rodríguez, María Eugenia |
| Zdroj: | Journal of Operator Theory. 94:93-109 |
| Publication Status: | Preprint |
| Informace o vydavateli: | Theta Foundation, 2025. |
| Rok vydání: | 2025 |
| Témata: | Mathematics - Functional Analysis, 47L10, 46L55, 16G20, Mathematics - Operator Algebras, FOS: Mathematics, Operator Algebras (math.OA), Functional Analysis (math.FA) |
| Popis: | For each finite p⩾1 and each countable directed graph E we consider the Leavitt path C-algebra L(E) and the Lp-operator graph algebra Op(E). We show that the (purely infinite) simplicity of Op(E) as a Banach algebra is equivalent to the (purely infinite) simplicity of L(E) as a ring. |
| Druh dokumentu: | Article |
| ISSN: | 1841-7744 0379-4024 |
| DOI: | 10.7900/jot.2023aug30.2459 |
| DOI: | 10.48550/arxiv.2307.05555 |
| Přístupová URL adresa: | http://arxiv.org/abs/2307.05555 |
| Rights: | arXiv Non-Exclusive Distribution |
| Přístupové číslo: | edsair.doi.dedup.....ccd8a1f40d764e3de02fe304902beb61 |
| Databáze: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstrakt: | For each finite p⩾1 and each countable directed graph E we consider the Leavitt path C-algebra L(E) and the Lp-operator graph algebra Op(E). We show that the (purely infinite) simplicity of Op(E) as a Banach algebra is equivalent to the (purely infinite) simplicity of L(E) as a ring. |
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| ISSN: | 18417744 03794024 |
| DOI: | 10.7900/jot.2023aug30.2459 |