Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 764-784 |
| Number of pages | 21 |
| Journal | Banach Journal of Mathematical Analysis |
| Volume | 11 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Oct 2017 |
Bibliographical note
Publisher Copyright:© 2017 by the Tusi Mathematical Research Group.
Keywords
- Asymptotic equivalence
- Con-tracting
- G-transitive
- Groupoid
- Groupoid C*-algebra
- Limit dynamical system
- Pseudofree
- Regular
- Self-similar graph action