Abstract
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.
Citation
Jan Kwiatkowski. Marcin Wata. "Dimension and infinitesimal groups of Cantor minimal systems." Topol. Methods Nonlinear Anal. 23 (1) 161 - 202, 2004.
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