On the Dixmier property of certain algebras

DOI10.1017/S0305004100056073zbMath0414.46040MaRDI QIDQ3049360

Robert J. Archbold

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

relative commutanttracial statesimple C*-algebraaveraging processDixmier propertyunital simple Af algebra

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30) Linear operators in ({}^*)-algebras (47C10)

Related Items

The relative Dixmier property in discrete crossed products, The Dixmier property and tracial states for \(C^\ast\)-algebras, On the relative Dixmier property for inclusions of \(C^*\)-algebras, On weakly central \(C^*\)-algebras, Power's property and simple \(C^*\)-algebras

Cites Work

• Structure of \(AW^*\)-algebras. I
• A family of simple \(C^*\)-algebras related to weighted shift operators
• Simplicity of the \(C^*\)-algebra associated with the free group on two generators
• Simple \(C^*\)-algebras generated by isometries
• An Averaging Process for C*-Algebras Related to Weighted Shifts
• Topological Dynamics and C ∗ -Algebras
• Inductive Limits of Finite Dimensional C ∗ -Algebras