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Sequentially split โˆ—-homomorphisms between C*-algebras

Sequentially split โˆ—-homomorphisms between C*-algebras

We define and examine sequentially split โˆ—-homomorphisms between C*-algebras and C*-dynamical systems. For a โˆ—-homomorphism, the property of being sequentially split can be regarded as an approximate weakening of being a split-injective inclusion of C*-algebras. We show for a sequentially split โˆ—-homomorphism that a multitude of C*-algebraic approximation properties pass โ€ฆ