Dimension and infinitesimal groups of Cantor minimal systems
KeywordsBratteli diagrams, Dimension groups, Kakutani-Rokhlin partitions
AbstractThe 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.
How to Cite
KWIATKOWSKI, Jan & WATA, Marcin. Dimension and infinitesimal groups of Cantor minimal systems. Topological Methods in Nonlinear Analysis [online]. 1 March 2004, T. 23, nr 1, s. 161–202. [accessed 25.10.2021].
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