On graph algebras from interval maps
Operator Algebras
2018-07-20 v1 Dynamical Systems
Abstract
We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of one dimensional dynamical systems, where the underlying Markov interval maps have escape sets. We identify when such representations are faithful in terms of the transitions to the escape subintervals.
Cite
@article{arxiv.1807.07503,
title = {On graph algebras from interval maps},
author = {Carlos Correia Ramos and Nuno Martins and Paulo R. Pinto},
journal= {arXiv preprint arXiv:1807.07503},
year = {2018}
}
Comments
A final version will appear in Annals of Functional Analysis