Markovianity and the Thompson Group 𝐹
We show that representations of the Thompson group 𝐹 in the automorphisms of a noncommutative probability space yield a large class of bilateral stationary noncommutative Markov processes. As a partial converse, bilateral stationary Markov processes in tensor dilation form yield representations of 𝐹...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2022 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211821 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Markovianity and the Thompson Group 𝐹. Claus Köstler and Arundhathi Krishnan. SIGMA 18 (2022), 083, 27 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We show that representations of the Thompson group 𝐹 in the automorphisms of a noncommutative probability space yield a large class of bilateral stationary noncommutative Markov processes. As a partial converse, bilateral stationary Markov processes in tensor dilation form yield representations of 𝐹. As an application, and building on a result of Kümmerer, we canonically associate a representation of 𝐹 to a bilateral stationary Markov process in classical probability.
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| ISSN: | 1815-0659 |