On the uniform convergence of ergodic averages for \(C^*\)-dynamical systems (Q2006899)
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| Language | Label | Description | Also known as |
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| English | On the uniform convergence of ergodic averages for \(C^*\)-dynamical systems |
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On the uniform convergence of ergodic averages for \(C^*\)-dynamical systems (English)
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12 October 2020
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The author investigates ergodic and spectral properties of general (discrete) \(C^*\)-dynamical systems made of a unital \(C^*\)-algebra and a multiplicative identity-preserving map. A notable particular case is when the dynamical system admits the property of unique ergodicity with respect to the fixed-point subalgebra. Applications to quantum probability justify the study.
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ergodic theorems
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\(C^*\)-dynamical systems
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unique ergodicity
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