000147829 001__ 147829 000147829 005__ 20250107161406.0 000147829 0247_ $$2doi$$a10.1016/j.jfa.2024.110739 000147829 0248_ $$2sideral$$a141400 000147829 037__ $$aART-2024-141400 000147829 041__ $$aeng 000147829 100__ $$0(orcid)0000-0001-9442-1583$$aBosa, Joan$$uUniversidad de Zaragoza 000147829 245__ $$aPure *-homomorphisms 000147829 260__ $$c2024 000147829 5060_ $$aAccess copy available to the general public$$fUnrestricted 000147829 5203_ $$aWe 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. 000147829 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-23R$$9info:eu-repo/grantAgreement/ES/MCINN/PID2020-113047GB 000147829 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000147829 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000147829 700__ $$aVilalta, Eduard 000147829 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Algebra 000147829 773__ $$g288, 3 (2024), 110739 [27 pp.]$$pJ. funct. anal.$$tJOURNAL OF FUNCTIONAL ANALYSIS$$x0022-1236 000147829 8564_ $$s550004$$uhttps://zaguan.unizar.es/record/147829/files/texto_completo.pdf$$yVersión publicada 000147829 8564_ $$s1404078$$uhttps://zaguan.unizar.es/record/147829/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000147829 909CO $$ooai:zaguan.unizar.es:147829$$particulos$$pdriver 000147829 951__ $$a2025-01-07-14:05:52 000147829 980__ $$aARTICLE