Tracial approximation in simple $C*$-algebras
We revisit the notion of tracial approximation for unital simple C*-algebras. We show that a unital simple separable in nite dimensional C*-algebra A is asymptotically tracially in the class of C-algebras with nite nuclear dimension if and only if A is asymptotically tracially in the class of nuclear Z-stable C-algebras. 1
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NSF-PAR ID:
10321035
Journal Name:
Canadian journal of mathematics
ISSN:
0008-414X