Pure *-homomorphisms

Bosa, Joan (Universidad de Zaragoza) ; Vilalta, Eduard

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

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)