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 -