Limit dynamical systems and C*-algebras from self-similar graph actions
- 주제(키워드) Asymptotic equivalence , Con-tracting , G-transitive , Groupoid , Groupoid C*-algebra , Limit dynamical system , Pseudofree , Regular , Self-similar graph action
- 등재 SCIE, SCOPUS
- 발행기관 Duke University Press
- 발행년도 2017
- URI http://www.dcollection.net/handler/ewha/000000146885
- 본문언어 영어
- Published As http://dx.doi.org/10.1215/17358787-2017-0016
- 저작권 이화여자대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
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. © 2017 by the Tusi Mathematical Research Group.
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