Elementary constructions of non-discrete C*-simple groups

Abstract

Recently Raum has given the first examples of locally compact non-discrete groups with the simple reduced group C*-algebra, answering a question of de la Harpe. Here we construct such groups whose proof relies only on results in the discrete case.

3 pages

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• The approximation property and exactness of locally compact groups
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• Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries
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