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arXiv · 0806.2855

A direct proof of Z-stability for AH algebras of bounded topological dimension

Marius Dadarlat·N. Christopher Phillips·Andrew S. Toms
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Abstract

We prove that a unital simple approximately homogeneous (AH) C*-algebra with no dimension growth absorbs the Jiang-Su algebra tensorially without appealing to the classification theory of these algebras. Our main result continues to hold under the slightly weaker hypothesis of exponentially slow dimension growth.

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Marius Dadarlat, N. Christopher Phillips, Andrew S. Toms. 2008-06-17. A direct proof of Z-stability for AH algebras of bounded topological dimension. https://doi.org/10.1112/blms%2Fbdp037

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