TY - JOUR

T1 - Limit dynamical systems and C*-algebras from self-similar graph actions

AU - Yi, Inhyeop

N1 - Publisher Copyright:
© 2017 by the Tusi Mathematical Research Group.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - 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.

AB - 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.

KW - Asymptotic equivalence

KW - Con-tracting

KW - G-transitive

KW - Groupoid

KW - Groupoid C-algebra

KW - Limit dynamical system

KW - Pseudofree

KW - Regular

KW - Self-similar graph action

UR - http://www.scopus.com/inward/record.url?scp=85030655788&partnerID=8YFLogxK

U2 - 10.1215/17358787-2017-0016

DO - 10.1215/17358787-2017-0016

M3 - Article

AN - SCOPUS:85030655788

SN - 1735-8787

VL - 11

SP - 764

EP - 784

JO - Banach Journal of Mathematical Analysis

JF - Banach Journal of Mathematical Analysis

IS - 4

ER -