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math.OA2012★ 25 cited
Decomposition rank of Z-stable C*-algebras
Aaron Tikuisis, Wilhelm Winter
We show that C*-algebras of the form C(X) \otimes Z, where X is compact and Hausdorff and Z denotes the Jiang--Su algebra, have decomposition rank at most 2. This amounts to a dime…
math.OA2012★ 50 cited
Nuclear dimension, Z-stability, and algebraic simplicity for stably projectionless C*-algebras
Aaron Tikuisis
The main result here is that a simple separable C*-algebra is Z-stable (where Z denotes the Jiang-Su algebra) if (i) it has finite nuclear dimension or (ii) it is approximately sub…