Noncommutative differential geometry, quantization, and smooth symmetries of the \(C^*\)-algebras associated to topological dynamics

DOI10.1007/BF01194558zbMath0695.46030OpenAlexW2329230263WikidataQ115393931 ScholiaQ115393931MaRDI QIDQ909945

Palle E. T. Jorgensen

Publication date: 1989

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194558

zbMATH Keywords

Lie algebraPoisson bracketCuntz algebraCuntz-Krieger algebrasconnection form\(C^*\)-typedecomposition problem for derivations in \(C^*\)-algebrasexplicit Lie bracketfinding the smooth Lie action on a given \(C^*\)-algebranoncommutative tori associated to antisymmetric bicharactersquantization problem

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) (K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Cites Work

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• On One-Parameter Subgroups of *-Automorphisms on Operator Algebras and the Corresponding Unbounded Derivations
• The 𝐶*-algebra generated by an isometry
• Irreducible representations of operator algebras

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