147829 20260217205541.0 doi 10.1016/j.jfa.2024.110739 sideral 141400 ART-2024-141400 eng Bosa, Joan Universidad de Zaragoza (orcid)0000-0001-9442-1583 Pure *-homomorphisms 2024 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/DGA/E22-23R info:eu-repo/grantAgreement/ES/MCINN/PID2020-113047GB info:eu-repo/semantics/openAccess by-nc https://creativecommons.org/licenses/by-nc/4.0/deed.es 1.6 2024 MATHEMATICS 53 / 492 = 0.108 2024 Q1 T1 1.958 2024 Analysis 2024 Q1 2.9 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Vilalta, Eduard 2006 005 Universidad de Zaragoza Dpto. Matemáticas Área Algebra 288, 3 (2024), 110739 [27 pp.] J. funct. anal. JOURNAL OF FUNCTIONAL ANALYSIS 0022-1236 550004 http://zaguan.unizar.es/record/147829/files/texto_completo.pdf Versión publicada 1404078 http://zaguan.unizar.es/record/147829/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:147829 articulos driver 2026-02-17-20:36:15 ARTICLE