The Mean Ratio Set for Valued Cocycles

  • Karma Dajani

    Universiteit Utrecht, Netherlands
  • Anthony H. Dooley

    University of Technology Sydney, Ultimo, Australia


Let be acted upon by the group of changes in finitely many coordinates and a -measure on which is nonsingular for the -action on . We consider cocycles on taking values in the group. We give a structure theorem for such cocycles, we define the mean ratio set which is a closed subgroup of the group and we exhibit for each closed subgroup a cocycle whose mean ratio set is the given subgroup.

Cite this article

Karma Dajani, Anthony H. Dooley, The Mean Ratio Set for Valued Cocycles. Publ. Res. Inst. Math. Sci. 32 (1996), no. 4, pp. 671–688

DOI 10.2977/PRIMS/1195162716