A non-commutative version of the Arnold cat map

DOI10.1007/BF00401650zbMath0722.46033OpenAlexW2092789339MaRDI QIDQ756085

Geoffrey L. Sewell, Heide Narnhofer, Fabio Benatti

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1007/bf00401650

zbMATH Keywords

mixingquantum Hall effectArnold cat mapcountable Lebesgue spectrumK-systemnoncommutative algebraic analogue of the dynamical system known as the Arnold cat map of the two-dimensional torus

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Ergodic theory (37A99)

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