Markovianity and the Thompson Group $F$
Operator Algebras
2022-10-28 v2 Group Theory
Probability
Abstract
We show that representations of the Thompson group 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 . As an application, and building on a result of K\"ummerer, we canonically associate a representation of to a bilateral stationary Markov process in classical probability.
Keywords
Cite
@article{arxiv.2204.03595,
title = {Markovianity and the Thompson Group $F$},
author = {Claus Köstler and Arundhathi Krishnan},
journal= {arXiv preprint arXiv:2204.03595},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2009.14811