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Tracial approximation in simple C*-algebras

Published 22 Apr 2020 in math.OA | (2004.10901v1)

Abstract: We revisit the notion of tracial approximation for unital simple C*-algebras. We show that a unital simple separable C*-algebra A is asymptotically tracially in the class of C*-algebras with finite nuclear dimension if and only if A is asymptotically tracially in the class of simple nuclear Z-stable C*-algebras.

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