論文

査読有り
2016年11月

Etale groupoids arising from products of shifts of finite type

ADVANCES IN MATHEMATICS
  • Hiroki Matui

303
開始ページ
502
終了ページ
548
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1016/j.aim.2016.08.023
出版者・発行元
ACADEMIC PRESS INC ELSEVIER SCIENCE

Two conjectures about homology groups, K-groups and topological full groups of minimal Bale groupoids on Cantor sets are formulated. We verify these conjectures for many examples of etale groupoids including products of etale groupoids arising from one-sided shifts of finite type. Furthermore, we completely determine when these product groupoids are mutually isomorphic. Also, the abelianization of their topological full groups is computed. They are viewed as generalisations of the higher dimensional Thompson groups. (C) 2016 Elsevier Inc. All rights reserved.

Web of Science ® 被引用回数 : 7

リンク情報
DOI
https://doi.org/10.1016/j.aim.2016.08.023
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000386192700015&DestApp=WOS_CPL

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