scientific article

zbMATH Open0723.46040MaRDI QIDQ3210381

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Publication date: 1990

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zbMATH Keywords

central extensionfaithful representationcontinuous field of \(C^ *\)-algebrasfull group \(C^ *\)-algebrasKadison-Kaplansky conjecture on the nonexistnce of nontrivial projections for (reduced) group \(C^ *\)-algebrasproperty MCthe full \(C^ *\)-algebra of a torsion-free nilpotent group has no nontrivial projectionunitary representations of a discrete group

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free probability and free operator algebras (46L54) General theory of (C^*)-algebras (46L05) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

The κ-Poincaré group on a C∗-level

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