Power's property and simple \(C^*\)-algebras

DOI10.1007/BF01451404zbMath0563.46033OpenAlexW1978757323WikidataQ103213490 ScholiaQ103213490MaRDI QIDQ1057456

Georges Skandalis, Pierre De la Harpe

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164052

zbMATH Keywords

reduced crossed productunique tracenon amenable free productPowers' groupsPowers' propertysimple \(C^ *\)-algebras

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05)

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Cites Work

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• The structure of imprimitivity algebras
• Some simple C*-algebras constructed as crossed products with discrete outer automorphism groups
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
• On the cross-norm of the direct product of \(C^ *\)-algebras
• On rings of operators. IV
• On the Dixmier property of certain algebras