Morphisms of Simple Tracially Af Algebras
نویسنده
چکیده
Let A, B be separable simple unital tracially AF C*-algebras. Assuming that A is exact and satisfies the Universal Coefficient Theorem (UCT) in KK-theory, we prove the existence, and uniqueness modulo approximately inner automorphisms, of nuclear ∗-homomorphisms from A to B with prescribed K-theory data. This implies the AF-embeddability of separable exact residually finite dimensional C*-algebras satisfying the UCT and reproves Huaxin Lin’s theorem on the classification of nuclear tracially AF C*-algebras.
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تاریخ انتشار 2004