Authors: Farah, Ilijas 
Dan Hathaway
Katsura, Takeshi
Tikuisis, Aaron
Title: A simple C*-algebra with finite nuclear dimension which is not Z-stable
Journal: Münster Journal of Mathematics
Volume: 7
Issue: 2
First page: 515
Last page: 528
Issue Date: 21-Jan-2014
ISSN: 1867-5778
DOI: 10.17879/58269761171
URL: http://arxiv.org/abs/1301.5030v1
Abstract: 
We construct a simple C∗-algebra with nuclear dimension zero that is not isomorphic to its tensor product with the Jiang–Su algebra Z, and a hyperfinite II1 factor not isomorphic to its tensor product with the separable hyperfinite II1 factor R. The proofs usea weakening of the Continuum Hypothesis.
Publisher: Universität Münster

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