We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of -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.
"On graph algebras from interval maps." Ann. Funct. Anal. 10 (2) 203 - 217, May 2019. https://doi.org/10.1215/20088752-2018-0019