$\mathcal Z$-stability and finite dimensional tracial boundaries

作者: S. White , W. Winter , A. S. Toms

DOI: 10.1093/IMRN/RNU001

关键词:

摘要: We show that a simple separable unital nuclear nonelementary $C^*$-algebra whose tracial state space has compact extreme boundary with finite covering dimension admits uniformly tracially large order zero maps from matrix algebras into its central sequence algebra. As consequence, strict comparison implies $\Z$-stability for these algebras.

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