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| Título: | Conditional expectations on Fell bundles |
| Autor: | Abadie, Fernando |
| Tipo: | Preprint |
| Descriptores: | MATHEMATICS - OPERATOR ALGEBRAS, C*- ALGEBRA |
| Fecha de publicación: | 2024 |
| Resumen: | We show that the existence of a continuous conditional expectation from a Fell bundle to a Fell subbundle implies that the full cross-sectional C*-algebra of the subbundle is contained in the full cross-sectional C*-algebra of the bundle, and moreover there exists a conditional expectation from the latter algebra to the former. A similar fact holds for the reduced cross-sectional C*-algebras. Besides, the subbundle is amenable whenever so is the bundle. |
| Editorial: | arXiv |
| EN: | Mathematics (Operator Algebras), arXiv:2412.12446, dic. 2024, pp. 1-17 |
| Citación: | Abadie, F. "Conditional expectations on Fell bundles" [Preprint]. Publicado en: Mathematics (Operator Algebras). 2024, arXiv.2412.12446, dic. 2024, pp. 1-17. DOI: 10.48550/arXiv.2412.12446 |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Facultad de Ciencias |
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| Fichero | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2412.12446v1.pdf | 231,05 kB | Adobe PDF | Visualizar/Abrir |
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