Finitary orbit equivalence and measured Bratteli diagrams
Tom 110 / 2008
                    
                    
                        Colloquium Mathematicum 110 (2008), 363-382                    
                                        
                        MSC: 28D05, 37A05, 37A20.                    
                                        
                        DOI: 10.4064/cm110-2-4                    
                                    
                                                Streszczenie
We prove a strengthened version of Dye's theorem on orbit equivalence, showing that if the transformation structures are represented as finite coordinate change equivalence relations of ergodic measured Bratteli diagrams, then there is a finitary orbit equivalence between these diagrams.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            