Resumen: We introduce and study the notion of pureness for *-homomorphisms and, more generally, for cpc order-zero maps. After providing various important examples of pureness, we show our main result: Any composition of two pure maps factors through a pure object up to Cuntz equivalence. This is used to obtain several factorization results at the level of
C⁎-algebras.
Idioma: Inglés
DOI: 10.1016/j.jfa.2024.110739
Año: 2024
Publicado en: JOURNAL OF FUNCTIONAL ANALYSIS 288, 3 (2024), 110739 [27 pp.]
ISSN: 0022-1236
Factor impacto JCR: 1.6 (2024)
Categ. JCR: MATHEMATICS rank: 53 / 483 = 0.11 (2024) - Q1 - T1
Factor impacto SCIMAGO: 1.958 - Analysis (Q1)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-23R
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2020-113047GB
Tipo y forma: Article (Published version)
Área (Departamento): Área Algebra (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
Exportado de SIDERAL (2025-09-22-14:47:43)
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C⁎-algebras.
Idioma: Inglés
DOI: 10.1016/j.jfa.2024.110739
Año: 2024
Publicado en: JOURNAL OF FUNCTIONAL ANALYSIS 288, 3 (2024), 110739 [27 pp.]
ISSN: 0022-1236
Factor impacto JCR: 1.6 (2024)
Categ. JCR: MATHEMATICS rank: 53 / 483 = 0.11 (2024) - Q1 - T1
Factor impacto SCIMAGO: 1.958 - Analysis (Q1)
Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-23R
Financiación: info:eu-repo/grantAgreement/ES/MCINN/PID2020-113047GB
Tipo y forma: Article (Published version)
Área (Departamento): Área Algebra (Dpto. Matemáticas)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. Exportado de SIDERAL (2025-09-22-14:47:43)
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Record created 2025-01-07, last modified 2025-09-23