A dichotomy for derivations on \({\mathcal O}_ n\)

DOI10.2977/prims/1195178375zbMath0611.46064OpenAlexW2216901313MaRDI QIDQ1087799

Frederick M. Goodman, Ola Bratteli, David E. Evans, Palle E. T. Jorgensen

Publication date: 1986

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/1195178375

zbMATH Keywords

Cuntz algebraapproximately inner\({}^ *\)-polynomialsgauge-invariant derivation

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (8)

A duality for endomorphisms of von Neumann algebras ⋮ Unitary dilations and the \(C^ *\)-algebra \({\mathcal O}_ 2\) ⋮ Completely positive maps of the Cuntz algebras ⋮ Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\) ⋮ Coherent states of the \(q\)-canonical commutation relations ⋮ Noncommutative differential geometry, quantization, and smooth symmetries of the \(C^*\)-algebras associated to topological dynamics ⋮ Spectral theory for Borel sets in \(\mathbb{R}{}^ n\) of finite measure ⋮ Separating points by inclusions of \(\mathcal{O}_\infty\)

Cites Work

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• Lie algebras of unbounded derivations
• Integration in Abelian \(C^*\)-dynamical systems
• Irreducible quantum dynamical semigroups
• Simple \(C^*\)-algebras generated by isometries
• Matrix algebras over \(\mathcal O_n\)
• On an automorphic action of U(n,1) on \({\mathcal O}_ n\)
• Derivations Tangential to Compact Group Actions: Spectral Conditions in the Weak Closure
• Derivations Tangential to Compact Groups: The Non-Abelian Case

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