On an automorphic action of U(n,1) on \({\mathcal O}_ n\)

DOI10.1016/0022-1236(87)90124-8zbMath0615.46062OpenAlexW1984747765MaRDI QIDQ1820400

David E. Evans, Alan L. Carey

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90124-8

zbMATH Keywords

ergodicityCuntz algebracluster propertiesToeplitz extensionabsence of KMS states

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (3)

A dichotomy for derivations on \({\mathcal O}_ n\) ⋮ Minimal representations of Cuntz algebras ⋮ Noncommutative differential geometry, quantization, and smooth symmetries of the \(C^*\)-algebras associated to topological dynamics

Cites Work

• A class of C*-algebras and topological Markov chains
• K-theory for certain C*-algebras
• On \(O_ n\).
• Simple \(C^*\)-algebras generated by isometries
• Matrix algebras over \(\mathcal O_n\)
• Derivations Tangential to Compact Groups: The Non-Abelian Case
• Compact Lie groups associated with endomorphisms of 𝐶*-algebras
• The 𝐶*-algebra generated by an isometry
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