SMALE SPACES FROM SELF-SIMILAR GRAPH ACTIONS
- 주제(키워드) Self-similar graph action , limit dynamical system , limit solenoid , positively expansive map , Smale space
- 주제(기타) Mathematics
- 설명문(일반) [Yi, Inhyeop] Ewha Womans Univ, Dept Math, Seoul, South Korea
- 등재 SCIE, SCOPUS
- 발행기관 ROCKY MT MATH CONSORTIUM
- 발행년도 2018
- URI http://www.dcollection.net/handler/ewha/000000156381
- 본문언어 영어
- Published As http://dx.doi.org/10.1216/RMJ-2018-48-4-1359
초록/요약
We show that, for contracting and regular self-similar graph actions, the shift maps on limit spaces are positively expansive local homeomorphisms. From this, we find that limit solenoids of contracting and regular self-similar graph actions are Smale spaces and that the unstable Ruelle algebras of the limit solenoids are strongly Morita equivalent to the Cuntz-Pimsner algebras by Exel and Pardo if self-similar graph actions satisfy the contracting, regular, pseudo free and G-transitive conditions.
more