Approximated by finite-dimensional homomorphisms into Simple C*-Algebras with Tracial Rank One
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🧮 math.OA
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approximatedfinite-dimensionalhomomorphismsranksimpletracialunitalalgebra
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We discuss when a unital homomorphism {\phi} : C(X) \rightarrow A can be approximated by finite-dimensional homomorphisms, where X is a compact metric space and A is unital simple C*-algebra with tracial rank one. In this paper, we will give a necessary and sufficient condition.
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