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arXiv · 1807.07503

On graph algebras from interval maps

Carlos Correia Ramos·Nuno Martins·Paulo R. Pinto
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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 $f$ have escape sets. We identify when such representations are faithful in terms of the transitions to the escape subintervals.

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Carlos Correia Ramos, Nuno Martins, Paulo R. Pinto. 2018-07-19. On graph algebras from interval maps. https://arxiv.org/abs/1807.07503

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