The structure of group \(C^*\)-algebras of the generalized Dixmier groups

DOI10.2977/prims/1145476102zbMath1045.46034OpenAlexW2022444503MaRDI QIDQ1425470

Takahiro Sudo

Publication date: 21 March 2004

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1145476102

zbMATH Keywords

stable rankgroup \(C^*\)-algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35) Index theory (19K56)

Related Items (1)

Symmetries on the discrete Heisenberg group C*-algebra

Cites Work

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• The structure of imprimitivity algebras
• Structure of the group \(C^*\)-algebra of the group of affine transformations of a straight line
• \(C^*\)-algebras of transformation groups with smooth orbit space
• On stability of \(C^*\)-algebras
• Dimension theory of group \(C^*\)-algebras of connected Lie groups of type I
• Structure of the \(C^*\)-algebras of nilpotent Lie groups
• A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups
• Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Projective Modules over Higher-Dimensional Non-Commutative Tori
• STABLE RANK OF THE C*-ALGEBRAS OF NILPOTENT LIE GROUPS
• Rangs Stables De Certaines Extensions
• The \(C^*\)-algebras of some real and \(p\)-adic solvable groups

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