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Construction of dyadic systems
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Classroom Contents
Noncommutative Maximal Inequality and Ergodic Theorem for Actions of Amenable Groups
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- 1 Intro
- 2 The starting point
- 3 Question: ergodic theorem for group actions
- 4 Precising the question: amenable groups
- 5 Possible solutions to the problem
- 6 Maximal operators
- 7 To the noncommutative world
- 8 Examples
- 9 Noncommutative ergodic theorem: early days
- 10 Maximal norms in L
- 11 Martingale maximal inequality
- 12 Dyadic martingale and averages
- 13 Construction of dyadic systems
- 14 Difference operator in amenable groups
- 15 Steps of the proof
- 16 Geometry of local estimates
