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math.OA2015★ 16 cited
The nuclear dimension of C*-algebras associated to homeomorphisms
Ilan Hirshberg, Jianchao Wu
We show that if X is a finite dimensional locally compact Hausdorff space, then the crossed product of C_0(X) by any automorphism has finite nuclear dimension. This generalizes pre…
math.OA2015
The Calkin algebra is not countably homogeneous
Ilijas Farah, Ilan Hirshberg
We show that the Calkin algebra is not countably homogeneous, in the sense of continuous model theory. We furthermore show that the connected component of the unitary group of the…