The cohomology and K -theory of commuting homeomorphisms of the Cantor set

Ergodic Theory and Dynamical Systems

Volumn 19, Issue 3, 1999, Pages 611-625

  Forrest, Alan ^a   Hunton, John ^b  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^b UNIVERSITY OF LEICESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033471689     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385799130189     Document Type: Article

References (33)

1. J. F. Adams. On Chern characters and the structure of the unitary group. Proc. Camb. Phil. Soc. 57 (1961), 189-199.
2. J. F. Adams. Chern characters revisited. III. J. Math. 17 (1973), 333-336.
3. G. Atkinson. Non-compact extensions of transformations. PhD Thesis, University of Warwick, 1976.
4. P. Baum, A. Connes and N. Higson. Classifying space for proper actions and K-theory of group C*-algebras. Amer. Math. Soc. Contemp. Math. 167 (1994), 241-291.
5. P. Baum and A. Connes. Chern character for discrete groups. A Fête of Topology. Academic Press, Boston, MA, 1988, pp. 163-232.
6. J. Bellissard. Schrödinger operators with an almost periodic potential. Mathematical Problems in Theoretical Physics (Lecture Notes in Physics, 153). Eds. R. Schrader and R. Seiler. Springer, Berlin, 1982, pp. 356-359.
7. B. Blackadar. K-theory for Operator Algebras (MSRI Publications Series, 5). Springer, Berlin, 1986.
8. K. Brown. Cohomology of Groups. Springer, Berlin, 1982.
9. J. Depauw. Théorèms ergodiques pour cocycle de degré 2. Thèse de Doctorat, L'Université de Bretagne Occidentale, 1994.
10. H. Dye. On groups of measure preserving transformations II. Amer. J. Math. 85 (1963), 551-576.
11. J. Feldman and C. C. Moore. Ergodic equivalence relations, cohomology, and von Neuman algebra I. Trans. Amer. Math. Soc. 234 (1977), 289-324.
12. T. Giordano, I. F. Putnam and C. F. Skau. Topological orbit equivalence and C*-crossed products. J. Reine. Angw. Math. 469 (1995), 51-111.
13. W. Gottschalk and G. Hedlund. Topological dynamics. Amer Math. Soc. Coll. Publ. 36 (1955).
14. 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.
15. B. Host. Dimension groups of substitution dynamical systems. Course Notes, Marseilles, 1994.
16. D. Husemoller. Fibre Bundles. McGraw-Hill, 1966.
17. A. Katok and S. Katok. Higher cohomology for Abelian groups of toral automorphisms. Ergod. Th. & Dynam. Sys. 13 (1995), 569-592.
18. d-actions by automorphisms of compact abelian groups. Pac. J. Math. 170 (1995), 105-142.
19. J. Kellendonk. Non-commutative geometry of tilings and gap labelling. Rev. Math. Phys., to appear.
20. I. Kornfeld and M. Lin. Coboundaries of irreducible Markov operators on C(K). Israel J. Math. 97 (1997), 189-202.
21. W. Krieger. On ergodic flows and isomorphism of factors. Math. Ann. 223 (1976), 19-70.
22. A. Livschitz. Cohomology of dynamical systems. Math USSR Izvestia 6 (1972), 1278-1301.
23. J. McCleary. User's Guide to Spectral Sequences. Publish or Perish, 1985.
24. I. F. Putnam, K. Schmidt and C. Skau. C*-algebras associated with Denjoy homeomorphisms of the circle. j. Operator Th. 16 (1986), 99-126.
25. W. Parry and S. Tuncel. Classification Problems in Ergodic Theory (London Math. Soc. Lecture Notes Series, 67). Cambridge University Press, Cambridge, 1982.
26. K. Schmidt. Lectures on Cocycles of Ergodic Transformation Groups. Macmillan, Delhi, 1977.
27. d actions. Ergod. Th. & Dynam. Sys. 15 (1995), 759-805.
28. E. H. Spanier. Algebraic Topology. McGraw-Hill, New York, 1966.
29. C. B. Thomas. Characteristic Classes and the Cohomology of Finite Groups (Cambridge Studies in Advanced Mathematics). Cambridge University Press, 1986.
30. A. van Elst. Gap labelling theorems for Schrödinger operators in the square and cubic lattice. Rev. Math. Phys. 6 (1994), 319-342.
31. F Walters. An Introduction to Ergodic Theory (Graduate Texts in Mathematics, 79). Springer, 1982.
32. N. E. Wegge-Olsen. K-theory and C*-algebras. Oxford University Press, 1993.
33. J. Westman. Cohomology for ergodic actions of countable groups. Proc. Amer. Math Soc 30 (1971), 318-320.