Symmetries on the discrete Heisenberg group C*-algebra

DOI10.1063/1.2180625zbMath1111.46043OpenAlexW1680436644MaRDI QIDQ3441659

Takahiro Sudo

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2180625

zbMATH Keywords

stable rankcrossed productfixed point algebrageneralised discrete Heisenberg groups

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Nilpotent and solvable Lie groups (22E25) Decomposition theory for (C^*)-algebras (46L45) Crossed product algebras (analytic crossed products) (47L65)

Cites Work

• Unnamed Item
• Continuous fields of \(C^*\)-algebras coming from group cocycles and actions
• The structure of imprimitivity algebras
• Non-commutative spheres. III: Irrational rotations
• The structure of the irrational rotation \(C^*\)-algebra
• The structure of group \(C^*\)-algebras of the generalized Dixmier groups
• Dimension theory of group \(C^*\)-algebras of connected Lie groups of type I
• On the stable rank of algebras of operator fields over metric spaces
• Symmetries of the CAR algebra
• A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups
• Dimension and Stable Rank in the K -Theory of C^* -Algebras
• Density of the self-adjoint elements with finite spectrum in an irrational rotation $C^*$-algebra.
• NON-COMMUTATIVE SPHERES I
• ON THE STABLE RANK OF ALGEBRAS OF OPERATOR FIELDS OVER AN $N$-CUBE
• STABLE RANK OF THE C*-ALGEBRAS OF NILPOTENT LIE GROUPS
• On Inductive Limits of Matrix Algebras over the Two-Torus
• Structure of group \(C^*\)-algebras of the generalized disconnected Mautner groups

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