## Annals of Functional Analysis

### On graph algebras from interval maps

#### Abstract

We produce and study a family of representations of relative graph algebras on Hilbert spaces that arise from the orbits of points of $1$-dimensional dynamical systems, where the underlying Markov interval maps $f$ have escape sets. We identify when such representations are faithful in terms of the transitions to the escape subintervals.

#### Article information

Source
Ann. Funct. Anal., Volume 10, Number 2 (2019), 203-217.

Dates
Accepted: 18 July 2018
First available in Project Euclid: 19 March 2019

https://projecteuclid.org/euclid.afa/1552960867

Digital Object Identifier
doi:10.1215/20088752-2018-0019

Mathematical Reviews number (MathSciNet)
MR3941382

#### Citation

Ramos, C. Correia; Martins, Nuno; Pinto, Paulo R. On graph algebras from interval maps. Ann. Funct. Anal. 10 (2019), no. 2, 203--217. doi:10.1215/20088752-2018-0019. https://projecteuclid.org/euclid.afa/1552960867

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