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math.OA2024
Pure *-homomorphisms
Joan Bosa, Eduard Vilalta
We introduce and study a notion of pureness for *-homomorphisms and, more generally, for cpc. order-zero maps. After providing several examples of pureness, such as "-…
math.OA2024
Pure C*-algebras
Ramon Antoine, Francesc Perera, Hannes Thiel +1
We demonstrate that pure C*-algebras form a robust class by proving that pureness follows from very weak comparison and divisibility properties. Using this, we show that every simp…