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