Smooth Lie group actions on non-commutative tori

DOI10.1088/0951-7715/2/2/004zbMath0685.46038OpenAlexW2078940222WikidataQ115293214 ScholiaQ115293214MaRDI QIDQ4735639

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Publication date: 1989

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/2/2/004

zbMATH Keywords

\(C^*\)-algebrasapproximately inner oneclassify smooth actions of Lie groups on the irrational rotationclassify smooth actions of Lie groups on the irrational rotation \(C^*\)- algebrasdecomposed into a sum of a standard derivation and anevery derivation of the smooth irrational rotation algebra can beevery derivation of the smooth irrational rotation algebra can be decomposed into a sum of a standard derivation and an approximately inner oneexistence of non-trivial representations of the Heisenberg groupresult of Bratteli-Elliott-Jørgensen

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Noncommutative dynamical systems (46L55) Representation theory of linear operators (47A67) Automorphisms of selfadjoint operator algebras (46L40)

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On Lie algebras of operators ⋮ On a class of stochastic flows driven by quantum Brownian motion ⋮ Deformation quantization of Heisenberg manifolds

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