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Inductive limits, unique traces and tracial rank zero

Nathanial P. Brown
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Abstract

In the program to classify C$^*$-algebras, it is very important to find abstract conditions which are sufficient to imply that a given algebra has tracial rank zero, in the sense of Huaxin Lin. Even in the presence of a unique trace, we show that the union of the known necessary conditions is not enough.

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Nathanial P. Brown. 2006-04-24. Inductive limits, unique traces and tracial rank zero. https://arxiv.org/abs/math/0604512

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