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Non-separable AF-algebras

Takeshi Katsura
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Abstract

We give two pathological phenomena for non-separable AF-algebras which do not occur for separable AF-algebras. One is that non-separable AF-algebras are not determined by their Bratteli diagrams, and the other is that there exists a non-separable AF-algebra which is prime but not primitive.

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Takeshi Katsura. 2005-04-21. Non-separable AF-algebras. https://arxiv.org/abs/math/0504423

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