Unifying interval maps and branching systems with applications to relative graph C*-algebras
Operator Algebras
2022-06-22 v1 Dynamical Systems
Abstract
We describe Markov interval maps via branching systems and develop the theory of relative branching systems, characterizing when the associated representations of relative graph C*-algebras are faithful. When the Markov interval maps have escape sets, we use our results to characterize injectivity of the associated relative graph algebra representations, improving on previous work by the first, third, and fourth authors.
Keywords
Cite
@article{arxiv.2206.09014,
title = {Unifying interval maps and branching systems with applications to relative graph C*-algebras},
author = {Carlos Correia Ramos and Daniel Gonçalves and Nuno Martins and Paulo R. Pinto},
journal= {arXiv preprint arXiv:2206.09014},
year = {2022}
}