Markovianity and the Thompson Group 𝐹

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• Hauptverfasser: Köstler, Claus, Krishnan, Arundhathi
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211821
• 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

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...