Noncommutative Ergodic Theory of Higher Rank Lattices

Noncommutative Ergodic Theory of Higher Rank Lattices

International Mathematical Union via YouTube Direct link

Existence and classification of characters

7 of 15

7 of 15

Existence and classification of characters

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Noncommutative Ergodic Theory of Higher Rank Lattices

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  1. 1 Intro
  2. 2 Simple algebraic groups
  3. 3 Examples of higher rank lattices
  4. 4 Motivation
  5. 5 Dynamics of AP(A)
  6. 6 Examples of characters
  7. 7 Existence and classification of characters
  8. 8 Dichotomy for topological dynamics
  9. 9 Strategy of proof
  10. 10 Structure theory of G/P
  11. 11 Boundary structures on von Neumann algebras
  12. 12 Examples of boundary structures
  13. 13 The noncommutative Nevo-Zimmer theorem
  14. 14 Connes' rigidity conjecture for higher rank lattices
  15. 15 The noncommutative Margulis factor theorem

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