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arXiv · 1301.5030

A simple C*-algebra with finite nuclear dimension which is not Z-stable

Ilijas Farah·Dan Hathaway·Takeshi Katsura·Aaron Tikuisis
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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 II_1 factor not isomorphic to its tensor product with the separable hyperfinite II_1 factor R. The proofs use a weakening of the Continuum Hypothesis.

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Ilijas Farah, Dan Hathaway, Takeshi Katsura, Aaron Tikuisis. 2013-01-21. A simple C*-algebra with finite nuclear dimension which is not Z-stable. https://doi.org/10.17879/58269761171

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