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On the classification problem for nuclear C*-algebras

Andrew S. Toms
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Abstract

We construct a simple, unital AH algebra which is shape equivalent to its tensor product with any infinite-dimensional UHF algebra, has the same tracial simplex as the said tensor product, and yet is not isomorphic to it. An analogous result for automorphisms is also proved.

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Andrew S. Toms. 2006-10-16. On the classification problem for nuclear C*-algebras. https://arxiv.org/abs/math/0509103

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