論文

査読有り
2017年

Full groups of Cuntz-Krieger algebras and Higman-Thompson groups

GROUPS GEOMETRY AND DYNAMICS
  • Kengo Matsumoto
  • ,
  • Hiroki Matui

11
2
開始ページ
499
終了ページ
531
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.4171/GGD/405
出版者・発行元
EUROPEAN MATHEMATICAL SOC

In this paper, we will study representations of the continuous full group Gamma(A) of a one-sided topological Markov shift (X-A, sigma(A)) for an irreducible matrix A with entries in {0, 1} as a generalization of Higman-Thompson groups V-N, 1 < N is an element of N. We will show that the group Gamma(A) can be represented as a group Gamma(tab)(A) A of matrices, called A-adic tables, with entries in admissible words of the shift space X-A, and a group Gamma(PL)(A) A of right continuous piecewise linear functions, called A-adic PL functions, on [0, 1] with finite singularities.


リンク情報
DOI
https://doi.org/10.4171/GGD/405
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000408469700005&DestApp=WOS_CPL

エクスポート
BibTeX RIS