Markov subshifts and partial representation of F_n
Operator Algebras
2007-05-23 v1 Dynamical Systems
Abstract
In this paper we fix a set \Lambda^* of positive elements of the free group F_n (e.g. the set of finite words occurring in a Markov subshift) as well as n partial isometries on a Hilbert space H. Based on these we define a map S:F_n --> L(H) which we prove to be a partial representation of F_n on H under certain conditions studied by Matsumoto.
Cite
@article{arxiv.math/0107020,
title = {Markov subshifts and partial representation of F_n},
author = {Danilo Royer},
journal= {arXiv preprint arXiv:math/0107020},
year = {2007}
}
Comments
LaTex, 7 pages