• Corpus ID: 239009785

Noncommutative ergodic theory of higher rank lattices

  title={Noncommutative ergodic theory of higher rank lattices},
  author={Cyril Houdayer},
We survey recent results regarding the study of dynamical properties of the space of positive definite functions and characters of higher rank lattices. These results have several applications to ergodic theory, topological dynamics, unitary representation theory and operator algebras. The key novelty in our work is a dynamical dichotomy theorem for equivariant faithful normal unital completely positive maps between noncommutative von Neumann algebras and the space of bounded measurable… 


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  • A. Ioana
  • Mathematics
    Proceedings of the International Congress of Mathematicians (ICM 2018)
  • 2019
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