A tracially AF algebra which is not Z\mathcal Z-absorbing

preprint2020arXivOpen access

Abstract

We show that there is a simple separable unital (non-nuclear) tracially AF algebra AA which does not absorb the Jiang-Su algebra Z\mathcal Z tensorially, i.e., A≆A⊗ZA \ncong A\otimes\mathcal Z.

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