Ergodic properties of bogoliubov automorphisms in free probability
We show that some C∗-dynamical systems obtained by free Fock quantization of classical ones, enjoy ergodic properties much stronger than their boson or fermion analogous. Namely, if the classical dynamical system (X, T, μ) is ergodic but not weakly mixing, then the resulting free quantized system (G...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2010
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/1597/ http://irep.iium.edu.my/1597/ http://irep.iium.edu.my/1597/ http://irep.iium.edu.my/1597/1/ffmf-idaqp%282010%29.pdf |