Cantor aperiodic systems and Bratteli diagrams

Comptes Rendus Mathematique

Volumn 342, Issue 1, 2006, Pages 43-46

  Medynets, Konstantin ^a  

^a B VERKIN INSTITUTE FOR LOW TEMPERATURE PHYSICS AND ENGINEERING   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30344476419     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2005.10.024     Document Type: Article

References (8)

1. S. Bezuglyi A.H. Dooley K. Medynets The Rokhlin lemma for homeomorphisms of a Cantor set Proc. Amer. Math. Soc. 133 2005 2957-2964
2. R. Dougherty S. Jackson A.S. Kechris The structure of hyperfinite Borel equivalence relations Trans. Amer. Math. Soc. 341 1 1994 193-225
3. F. Durand B. Host C. Skau Substitutional dynamical systems, Bratteli diagrams and dimension groups Ergodic Theory Dynam. Systems 19 1999 953-993
4. T. Giordano I. Putnam C. Skau Topological orbit equivalence and C* -crossed products J. Reine Angew. Math. 469 1995 51-111
5. T. Giordano I. Putnam C. Skau Affable equivalence relations and orbit structure of Cantor dynamical systems Ergodic Theory Dynam. Systems 24 2004 441-475
6. E. Glasner B. Weiss Weak orbit equivalence of Cantor minimal systems Int. J. Math. 6 4 1995 559-579
7. R.H. Herman I. Putnam C. Skau Ordered Bratteli diagram, dimension groups, and topological dynamics Int. J. Math. 3 1992 827-864
8. H. Matui Topological orbit equivalence of locally compact Cantor minimal systems Ergodic Theory Dynam. Systems 22 6 2002 1871-1903