Affable equivalence relations and orbit structure of Cantor dynamical systems

Ergodic Theory and Dynamical Systems

Volumn 24, Issue 2, 2004, Pages 441-475

  Giordano, Thierry ^a   Putnam, Ian ^b   Skau, Christian ^c  

^a UNIVERSITY OF OTTAWA   (Canada)

^b UNIVERSITY OF VICTORIA   (Canada)

^c NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442572124     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S014338570300066X     Document Type: Article

References (15)

1. S. Adams. An equivalence relation that is not freely generated. Proc. Amer. Math. Soc. 102 (1988), 565-566.
2. A. Connes, J. Feldman, and B. Weiss. An amenable equivalence relation is generated by a simple transformation. Ergod. Th. & Dynam. Sys. 1 (1981), 431-450.
3. E. G. Effros. Dimensions and C*-algebras. Conference of the Board Mathematic Scientists, Vol. 46. American Mathematical Society, Providence, RI, 1981.
4. J. Feldman and C. C. Moore. Ergodic equivalence relations, cohomology and von Neumann algebras I. Trans. Amer. Math. Soc. 234 (1977), 289-324.
5. A. Furman. Orbit equivalence rigidity. Ann. Math. 150 (1999), 1083-1108.
6. T. Giordano, I. Putnam and C. F. Skau. Topological orbit equivalence and C*-crossed products. J. Reine Angew. Math. 469 (1995), 51-111.
7. R. H. Herman, I. F. Putnam and C. F. Skau. Ordered Bratteli diagrams, dimension groups and topological dynamics. Int. J. Math. 3 (1992), 827-864.
8. A. Jackson, A. S. Kechris and A. Louveau. Countable Borel equivalence relations. J. Math. Logic 2 (2002), 1-80.
9. Ø. Johansen. Ordered K-theory and Bratteli diagrams: Implications for Cantor minimal systems. PhD Thesis, Norwegian University of Science and Technology, Trondheim, 1998.
10. J. L. Kelley. General Topology. van Nostrand, New York, 1955.
11. W. Krieger. On a dimension for a class of homeomorphism groups. Math. Ann. 252 (1980), 87-95.
12. A. L. T. Paterson. Groupoids, Inverse Semigroups and their Operator Algebras (Progress in Mathematics, 170). Birkhäuser, Basel, 1999.
13. I. Putnam. On the K-theory of C*-algebras of principal groupoids. Rocky Mountain Inst. Math. 28 (1998), 1483-1518.
14. J. Renault. A Groupoid Approach to C*-algebras (Lecture Notes in Mathematics, 739). Springer, Berlin, 1980.
15. J. Renault. AF-equivalence relations and their cocycles. Proc. OAMP Conf. (Constanta, 2001) to appear.