Dimension and infinitesimal groups of Cantor minimal systems
Keywords
Bratteli diagrams, Dimension groups, Kakutani-Rokhlin partitionsAbstract
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.Downloads
Published
2004-03-01
How to Cite
1.
KWIATKOWSKI, Jan and WATA, Marcin. Dimension and infinitesimal groups of Cantor minimal systems. Topological Methods in Nonlinear Analysis. Online. 1 March 2004. Vol. 23, no. 1, pp. 161 - 202. [Accessed 23 April 2024].
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