Continuous families of properly infinite C*-algebras

2015/07/09 by Blanchard, Etienne
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1507.02535

Abstract

Any unital separable continuous C(X)-algebra with properly infinite fibres is properly infinite as soon as the compact Hausdorff space X has finite topolog-ical dimension. We study conditions under which this is still the case if the compact space X has infinite topological dimension.

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