Open Access
October 2017 Limit dynamical systems and C-algebras from self-similar graph actions
Inhyeop Yi
Banach J. Math. Anal. 11(4): 764-784 (October 2017). DOI: 10.1215/17358787-2017-0016


In this article, we study dynamical and C-algebraic properties of self-similar group actions on finite directed graphs. We investigate the structure of limit dynamical systems induced from group actions on graphs, and we deduce conditions of group actions and graphs for the groupoid C-algebras defined by limit dynamical systems to be simple, separable, purely infinite, nuclear, and satisfying the universal coefficient theorem.


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Inhyeop Yi. "Limit dynamical systems and C-algebras from self-similar graph actions." Banach J. Math. Anal. 11 (4) 764 - 784, October 2017.


Received: 10 April 2016; Accepted: 28 October 2016; Published: October 2017
First available in Project Euclid: 22 June 2017

zbMATH: 06841253
MathSciNet: MR3708528
Digital Object Identifier: 10.1215/17358787-2017-0016

Primary: 37D20 , 46L05 , 46L55

Keywords: ‎asymptotic ‎equivalence , contracting , groupoid , groupoid $C^{*}$-algebra , G-transitive , limit dynamical system , pseudofree , regular , self-similar graph action

Rights: Copyright © 2017 Tusi Mathematical Research Group

Vol.11 • No. 4 • October 2017
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