Description

• Title:
  Dimension and infinitesimal groups of Cantor minimal systems
• Creator:
  Kwiatkowski, Jan;
  Wata, Marcin
• Description:
  The dimension and infinitesimal groups of a Cantor dynamical system $(X,T)$ are inductive limits of sequences of homomorphisms defined by a proper Bratteli diagram of $(X,T)$. A method of selecting sequences of homomorphisms determining the dimension and the infinitesimal groups of $(X,T)$ based on non-proper Bratteli diagrams is described. The dimension and infinitesimal groups of Rudin-Shapiro, Morse and Chacon flows are computed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2004.03.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 23, No 1 (March 2004); 161 - 202;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.008/9221
• Subject:
  Bratteli diagrams;
  Dimension groups;
  Kakutani-Rokhlin partitions;
  Primary 37B05;
  Secondary 54H20;
  37A15;
  37A20
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other