컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0512 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Functional Analysis and Applications (SS-09) |
| 영문제목 (Title(Eng.)) |
Asymptotic $C^*$-algebras from $\mathbb{Z}^k$-actions on higher rank graphs |
| 저자(Author(s)) |
Inhyeop Yi1 Ewha Womans University1 |
| 초록본문(Abstract) | For a dynamical system arising from $\mathbb{Z}^k$-action on a higher rank graph with finite vertex set, we show that the semidirect product of the asymptotic equivalence relation groupoid is essentially principal if and only if the $k$-graph satisfies the aperiodic condition. Then we show that the corresponding asymptotic Ruelle algebra is simple if the graph is primitive with the aperiodic condition. |
| 분류기호 (MSC number(s)) |
46L05, 46L30, 46L55 |
| 키워드(Keyword(s)) | higher rank graphs, asymptotic equivalence relation, Ruelle algebras |
| 강연 형태 (Language of Session (Talk)) |
English |