Ioana's Superrigidity Theorem and Orbit Equivalence Relations

@article{Coskey2013IoanasST,
  title={Ioana's Superrigidity Theorem and Orbit Equivalence Relations},
  author={Samuel Coskey},
  journal={International Scholarly Research Notices},
  year={2013},
  volume={2013},
  pages={1-8}
}
  • Samuel Coskey
  • Published 2013
  • Mathematics
  • International Scholarly Research Notices
  • We give a survey of Adrian Ioana's cocycle superrigidity theorem for profinite actions of Property (T) groups and its applications to ergodic theory and set theory in this expository paper. In addition to a statement and proof of Ioana's theorem, this paper features the following: (i) an introduction to rigidity, including a crash course in Borel cocycles and a summary of some of the best-known superrigidity theorems; (ii) some easy applications of superrigidity, both to ergodic theory (orbit… CONTINUE READING
    1 Citations

    Figures from this paper

    References

    SHOWING 1-10 OF 23 REFERENCES
    On Popa's Cocycle Superrigidity Theorem
    • 48
    • PDF
    Orbit equivalence rigidity and bounded cohomology
    • 173
    • PDF
    Ergodic Theory and Semisimple Groups
    • 1,124
    Orbit equivalence rigidity
    • 177
    • PDF
    Superrigidity and countable Borel equivalence relations
    • S. Thomas
    • Mathematics, Computer Science
    • Ann. Pure Appl. Log.
    • 2003
    • 32
    • PDF
    Borel reductions of profinite actions of SLn(Z)
    • Samuel Coskey
    • Mathematics, Computer Science
    • Ann. Pure Appl. Log.
    • 2010
    • 3
    • PDF
    Global Aspects of Ergodic Group Actions
    • 163
    • PDF