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

Autor:	Ramos, Carlos Correia, Gonçalves, Daniel, Martins, Nuno, Pinto, Paulo R.
Rok vydání:	2022
Předmět:	Mathematics - Operator Algebras Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.09014 Zobrazit plný text záznamu View this record from Arxiv