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arXiv · 2206.09014

Unifying interval maps and branching systems with applications to relative graph C*-algebras

Carlos Correia Ramos·Daniel Gonçalves·Nuno Martins·Paulo R. Pinto
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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 $f$ 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.

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Carlos Correia Ramos, Daniel Gonçalves, Nuno Martins, Paulo R. Pinto. 2022-06-17. Unifying interval maps and branching systems with applications to relative graph C*-algebras. https://arxiv.org/abs/2206.09014

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