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arxiv: 1312.7722 · v7 · pith:GOZMN7KAnew · submitted 2013-12-30 · 🧮 math.OA

Continuous fields of properly infinite C*-algebras

classification 🧮 math.OA
keywords infiniteproperlycasecontinuousalgebraalgebrascompactconditions
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Any unital separable continuous C(X)-algebra with properly infinite fibres is properly infinite as soon as the compact Hausdorff space X has finite topological dimension. We study conditions under which this is still the case in the infinite dimensional case.

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