Noncommutative Maximal Inequality and Ergodic Theorem for Actions of Amenable Groups
Simons Semester on Dynamics via YouTube
Overview
Syllabus
Intro
The starting point
Question: ergodic theorem for group actions
Precising the question: amenable groups
Possible solutions to the problem
Maximal operators
To the noncommutative world
Examples
Noncommutative ergodic theorem: early days
Maximal norms in L
Martingale maximal inequality
Dyadic martingale and averages
Construction of dyadic systems
Difference operator in amenable groups
Steps of the proof
Geometry of local estimates
Taught by
Simons Semester on Dynamics